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Finding the Third Proportional to 34,742 and 53,812

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Solution

The third proportional to 34,742 and 53,812 is: 83,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742 : 53,812 = 53,812 : x
  2. Step 2: Convert to fraction form
    34,742/53,812 = 53,812/x
  3. Step 3: Cross multiply
    34,742x = 53,812 × 53,812
  4. Step 4: Simplify right side
    34,742x = 2,895,731,344
  5. Step 5: Solve for x
    x = 2,895,731,344/34,742
  6. Step 6: Final answer
    x = 83,349.59

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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.