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Finding the Third Proportional to 6,531 and 14,101.13

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Solution

The third proportional to 6,531 and 14,101.13 is: 30,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531 : 14,101.13 = 14,101.13 : x
  2. Step 2: Convert to fraction form
    6,531/14,101.13 = 14,101.13/x
  3. Step 3: Cross multiply
    6,531x = 14,101.13 × 14,101.13
  4. Step 4: Simplify right side
    6,531x = 198,841,726.27
  5. Step 5: Solve for x
    x = 198,841,726.27/6,531
  6. Step 6: Final answer
    x = 30,445.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.