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Finding the Third Proportional to 35,865 and 52,704

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Solution

The third proportional to 35,865 and 52,704 is: 77,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,865 : 52,704 = 52,704 : x
  2. Step 2: Convert to fraction form
    35,865/52,704 = 52,704/x
  3. Step 3: Cross multiply
    35,865x = 52,704 × 52,704
  4. Step 4: Simplify right side
    35,865x = 2,777,711,616
  5. Step 5: Solve for x
    x = 2,777,711,616/35,865
  6. Step 6: Final answer
    x = 77,449.09

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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.