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Finding the Third Proportional to 34,782 and 52,836

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Solution

The third proportional to 34,782 and 52,836 is: 80,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782 : 52,836 = 52,836 : x
  2. Step 2: Convert to fraction form
    34,782/52,836 = 52,836/x
  3. Step 3: Cross multiply
    34,782x = 52,836 × 52,836
  4. Step 4: Simplify right side
    34,782x = 2,791,642,896
  5. Step 5: Solve for x
    x = 2,791,642,896/34,782
  6. Step 6: Final answer
    x = 80,261.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.