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Finding the Third Proportional to 29,527 and 62,881

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Solution

The third proportional to 29,527 and 62,881 is: 133,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,527 : 62,881 = 62,881 : x
  2. Step 2: Convert to fraction form
    29,527/62,881 = 62,881/x
  3. Step 3: Cross multiply
    29,527x = 62,881 × 62,881
  4. Step 4: Simplify right side
    29,527x = 3,954,020,161
  5. Step 5: Solve for x
    x = 3,954,020,161/29,527
  6. Step 6: Final answer
    x = 133,912.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.