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Finding the Third Proportional to 29,819 and 41,792

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Solution

The third proportional to 29,819 and 41,792 is: 58,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819 : 41,792 = 41,792 : x
  2. Step 2: Convert to fraction form
    29,819/41,792 = 41,792/x
  3. Step 3: Cross multiply
    29,819x = 41,792 × 41,792
  4. Step 4: Simplify right side
    29,819x = 1,746,571,264
  5. Step 5: Solve for x
    x = 1,746,571,264/29,819
  6. Step 6: Final answer
    x = 58,572.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.