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Finding the Third Proportional to 8,731.13 and 13,116.09

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Solution

The third proportional to 8,731.13 and 13,116.09 is: 19,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.13 : 13,116.09 = 13,116.09 : x
  2. Step 2: Convert to fraction form
    8,731.13/13,116.09 = 13,116.09/x
  3. Step 3: Cross multiply
    8,731.13x = 13,116.09 × 13,116.09
  4. Step 4: Simplify right side
    8,731.13x = 172,031,915.26
  5. Step 5: Solve for x
    x = 172,031,915.26/8,731.13
  6. Step 6: Final answer
    x = 19,703.29

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