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Finding the Third Proportional to 29,269 and 62,020

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Solution

The third proportional to 29,269 and 62,020 is: 131,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,269 : 62,020 = 62,020 : x
  2. Step 2: Convert to fraction form
    29,269/62,020 = 62,020/x
  3. Step 3: Cross multiply
    29,269x = 62,020 × 62,020
  4. Step 4: Simplify right side
    29,269x = 3,846,480,400
  5. Step 5: Solve for x
    x = 3,846,480,400/29,269
  6. Step 6: Final answer
    x = 131,418.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.