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Finding the Third Proportional to 34,750 and 52,291

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Solution

The third proportional to 34,750 and 52,291 is: 78,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,750 : 52,291 = 52,291 : x
  2. Step 2: Convert to fraction form
    34,750/52,291 = 52,291/x
  3. Step 3: Cross multiply
    34,750x = 52,291 × 52,291
  4. Step 4: Simplify right side
    34,750x = 2,734,348,681
  5. Step 5: Solve for x
    x = 2,734,348,681/34,750
  6. Step 6: Final answer
    x = 78,686.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.