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Finding the Third Proportional to 22,510 and 34,942

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Solution

The third proportional to 22,510 and 34,942 is: 54,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510 : 34,942 = 34,942 : x
  2. Step 2: Convert to fraction form
    22,510/34,942 = 34,942/x
  3. Step 3: Cross multiply
    22,510x = 34,942 × 34,942
  4. Step 4: Simplify right side
    22,510x = 1,220,943,364
  5. Step 5: Solve for x
    x = 1,220,943,364/22,510
  6. Step 6: Final answer
    x = 54,240.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.