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Finding the Third Proportional to 24,984 and 32,414

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Solution

The third proportional to 24,984 and 32,414 is: 42,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,984 : 32,414 = 32,414 : x
  2. Step 2: Convert to fraction form
    24,984/32,414 = 32,414/x
  3. Step 3: Cross multiply
    24,984x = 32,414 × 32,414
  4. Step 4: Simplify right side
    24,984x = 1,050,667,396
  5. Step 5: Solve for x
    x = 1,050,667,396/24,984
  6. Step 6: Final answer
    x = 42,053.61

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.