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Finding the Third Proportional to 35,782 and 52,579

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Solution

The third proportional to 35,782 and 52,579 is: 77,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782 : 52,579 = 52,579 : x
  2. Step 2: Convert to fraction form
    35,782/52,579 = 52,579/x
  3. Step 3: Cross multiply
    35,782x = 52,579 × 52,579
  4. Step 4: Simplify right side
    35,782x = 2,764,551,241
  5. Step 5: Solve for x
    x = 2,764,551,241/35,782
  6. Step 6: Final answer
    x = 77,260.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.