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Finding the Third Proportional to 44,476 and 68,792

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Solution

The third proportional to 44,476 and 68,792 is: 106,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,476 : 68,792 = 68,792 : x
  2. Step 2: Convert to fraction form
    44,476/68,792 = 68,792/x
  3. Step 3: Cross multiply
    44,476x = 68,792 × 68,792
  4. Step 4: Simplify right side
    44,476x = 4,732,339,264
  5. Step 5: Solve for x
    x = 4,732,339,264/44,476
  6. Step 6: Final answer
    x = 106,402.09

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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.