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Finding the Third Proportional to 35,712 and 78,474

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Solution

The third proportional to 35,712 and 78,474 is: 172,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712 : 78,474 = 78,474 : x
  2. Step 2: Convert to fraction form
    35,712/78,474 = 78,474/x
  3. Step 3: Cross multiply
    35,712x = 78,474 × 78,474
  4. Step 4: Simplify right side
    35,712x = 6,158,168,676
  5. Step 5: Solve for x
    x = 6,158,168,676/35,712
  6. Step 6: Final answer
    x = 172,439.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.