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Finding the Third Proportional to 13,525 and 29,062

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Solution

The third proportional to 13,525 and 29,062 is: 62,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525 : 29,062 = 29,062 : x
  2. Step 2: Convert to fraction form
    13,525/29,062 = 29,062/x
  3. Step 3: Cross multiply
    13,525x = 29,062 × 29,062
  4. Step 4: Simplify right side
    13,525x = 844,599,844
  5. Step 5: Solve for x
    x = 844,599,844/13,525
  6. Step 6: Final answer
    x = 62,447.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.