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Finding the Third Proportional to 49,393 and 70,581

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Solution

The third proportional to 49,393 and 70,581 is: 100,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,393 : 70,581 = 70,581 : x
  2. Step 2: Convert to fraction form
    49,393/70,581 = 70,581/x
  3. Step 3: Cross multiply
    49,393x = 70,581 × 70,581
  4. Step 4: Simplify right side
    49,393x = 4,981,677,561
  5. Step 5: Solve for x
    x = 4,981,677,561/49,393
  6. Step 6: Final answer
    x = 100,857.97

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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.