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Finding the Third Proportional to 8,182.13 and 17,835.75

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Solution

The third proportional to 8,182.13 and 17,835.75 is: 38,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.13 : 17,835.75 = 17,835.75 : x
  2. Step 2: Convert to fraction form
    8,182.13/17,835.75 = 17,835.75/x
  3. Step 3: Cross multiply
    8,182.13x = 17,835.75 × 17,835.75
  4. Step 4: Simplify right side
    8,182.13x = 318,113,978.06
  5. Step 5: Solve for x
    x = 318,113,978.06/8,182.13
  6. Step 6: Final answer
    x = 38,879.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.