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Finding the Third Proportional to 29,792 and 63,040

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Solution

The third proportional to 29,792 and 63,040 is: 133,392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,792 : 63,040 = 63,040 : x
  2. Step 2: Convert to fraction form
    29,792/63,040 = 63,040/x
  3. Step 3: Cross multiply
    29,792x = 63,040 × 63,040
  4. Step 4: Simplify right side
    29,792x = 3,974,041,600
  5. Step 5: Solve for x
    x = 3,974,041,600/29,792
  6. Step 6: Final answer
    x = 133,392.91

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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.