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Finding the Third Proportional to 8,753.16 and 13,135.97

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Solution

The third proportional to 8,753.16 and 13,135.97 is: 19,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,753.16 : 13,135.97 = 13,135.97 : x
  2. Step 2: Convert to fraction form
    8,753.16/13,135.97 = 13,135.97/x
  3. Step 3: Cross multiply
    8,753.16x = 13,135.97 × 13,135.97
  4. Step 4: Simplify right side
    8,753.16x = 172,553,675.00
  5. Step 5: Solve for x
    x = 172,553,675.00/8,753.16
  6. Step 6: Final answer
    x = 19,713.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.