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Finding the Third Proportional to 35,759 and 56,709

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Solution

The third proportional to 35,759 and 56,709 is: 89,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,759 : 56,709 = 56,709 : x
  2. Step 2: Convert to fraction form
    35,759/56,709 = 56,709/x
  3. Step 3: Cross multiply
    35,759x = 56,709 × 56,709
  4. Step 4: Simplify right side
    35,759x = 3,215,910,681
  5. Step 5: Solve for x
    x = 3,215,910,681/35,759
  6. Step 6: Final answer
    x = 89,932.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.