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Finding the Third Proportional to 7,620.75 and 16,331.63

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Solution

The third proportional to 7,620.75 and 16,331.63 is: 34,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.75 : 16,331.63 = 16,331.63 : x
  2. Step 2: Convert to fraction form
    7,620.75/16,331.63 = 16,331.63/x
  3. Step 3: Cross multiply
    7,620.75x = 16,331.63 × 16,331.63
  4. Step 4: Simplify right side
    7,620.75x = 266,721,975.14
  5. Step 5: Solve for x
    x = 266,721,975.14/7,620.75
  6. Step 6: Final answer
    x = 34,999.44

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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.