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Finding the Third Proportional to 8,937 and 13,147.31

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Solution

The third proportional to 8,937 and 13,147.31 is: 19,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937 : 13,147.31 = 13,147.31 : x
  2. Step 2: Convert to fraction form
    8,937/13,147.31 = 13,147.31/x
  3. Step 3: Cross multiply
    8,937x = 13,147.31 × 13,147.31
  4. Step 4: Simplify right side
    8,937x = 172,851,825.97
  5. Step 5: Solve for x
    x = 172,851,825.97/8,937
  6. Step 6: Final answer
    x = 19,341.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.