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Finding the Third Proportional to 13,657 and 29,501

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Solution

The third proportional to 13,657 and 29,501 is: 63,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657 : 29,501 = 29,501 : x
  2. Step 2: Convert to fraction form
    13,657/29,501 = 29,501/x
  3. Step 3: Cross multiply
    13,657x = 29,501 × 29,501
  4. Step 4: Simplify right side
    13,657x = 870,309,001
  5. Step 5: Solve for x
    x = 870,309,001/13,657
  6. Step 6: Final answer
    x = 63,726.22

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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.