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Finding the Third Proportional to 13,691 and 32,013

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Solution

The third proportional to 13,691 and 32,013 is: 74,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691 : 32,013 = 32,013 : x
  2. Step 2: Convert to fraction form
    13,691/32,013 = 32,013/x
  3. Step 3: Cross multiply
    13,691x = 32,013 × 32,013
  4. Step 4: Simplify right side
    13,691x = 1,024,832,169
  5. Step 5: Solve for x
    x = 1,024,832,169/13,691
  6. Step 6: Final answer
    x = 74,854.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.