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Finding the Third Proportional to 13,702 and 29,587

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Solution

The third proportional to 13,702 and 29,587 is: 63,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702 : 29,587 = 29,587 : x
  2. Step 2: Convert to fraction form
    13,702/29,587 = 29,587/x
  3. Step 3: Cross multiply
    13,702x = 29,587 × 29,587
  4. Step 4: Simplify right side
    13,702x = 875,390,569
  5. Step 5: Solve for x
    x = 875,390,569/13,702
  6. Step 6: Final answer
    x = 63,887.80

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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.