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Finding the Third Proportional to 31,424 and 44,792

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Solution

The third proportional to 31,424 and 44,792 is: 63,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424 : 44,792 = 44,792 : x
  2. Step 2: Convert to fraction form
    31,424/44,792 = 44,792/x
  3. Step 3: Cross multiply
    31,424x = 44,792 × 44,792
  4. Step 4: Simplify right side
    31,424x = 2,006,323,264
  5. Step 5: Solve for x
    x = 2,006,323,264/31,424
  6. Step 6: Final answer
    x = 63,846.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.