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Finding the Third Proportional to 24,622 and 39,088

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Solution

The third proportional to 24,622 and 39,088 is: 62,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,622 : 39,088 = 39,088 : x
  2. Step 2: Convert to fraction form
    24,622/39,088 = 39,088/x
  3. Step 3: Cross multiply
    24,622x = 39,088 × 39,088
  4. Step 4: Simplify right side
    24,622x = 1,527,871,744
  5. Step 5: Solve for x
    x = 1,527,871,744/24,622
  6. Step 6: Final answer
    x = 62,053.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.