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Finding the Third Proportional to 49,381 and 70,565

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Solution

The third proportional to 49,381 and 70,565 is: 100,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,381 : 70,565 = 70,565 : x
  2. Step 2: Convert to fraction form
    49,381/70,565 = 70,565/x
  3. Step 3: Cross multiply
    49,381x = 70,565 × 70,565
  4. Step 4: Simplify right side
    49,381x = 4,979,419,225
  5. Step 5: Solve for x
    x = 4,979,419,225/49,381
  6. Step 6: Final answer
    x = 100,836.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.