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Finding the Third Proportional to 35,127 and 52,691

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Solution

The third proportional to 35,127 and 52,691 is: 79,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,127 : 52,691 = 52,691 : x
  2. Step 2: Convert to fraction form
    35,127/52,691 = 52,691/x
  3. Step 3: Cross multiply
    35,127x = 52,691 × 52,691
  4. Step 4: Simplify right side
    35,127x = 2,776,341,481
  5. Step 5: Solve for x
    x = 2,776,341,481/35,127
  6. Step 6: Final answer
    x = 79,037.25

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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.