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Finding the Third Proportional to 13,147.31 and 28,924.13

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Solution

The third proportional to 13,147.31 and 28,924.13 is: 63,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.31 : 28,924.13 = 28,924.13 : x
  2. Step 2: Convert to fraction form
    13,147.31/28,924.13 = 28,924.13/x
  3. Step 3: Cross multiply
    13,147.31x = 28,924.13 × 28,924.13
  4. Step 4: Simplify right side
    13,147.31x = 836,605,007.02
  5. Step 5: Solve for x
    x = 836,605,007.02/13,147.31
  6. Step 6: Final answer
    x = 63,633.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.