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Finding the Third Proportional to 15,832.13 and 33,879.94

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Solution

The third proportional to 15,832.13 and 33,879.94 is: 72,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.13 : 33,879.94 = 33,879.94 : x
  2. Step 2: Convert to fraction form
    15,832.13/33,879.94 = 33,879.94/x
  3. Step 3: Cross multiply
    15,832.13x = 33,879.94 × 33,879.94
  4. Step 4: Simplify right side
    15,832.13x = 1,147,850,165.00
  5. Step 5: Solve for x
    x = 1,147,850,165.00/15,832.13
  6. Step 6: Final answer
    x = 72,501.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.