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Finding the Third Proportional to 49,606 and 69,387

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Solution

The third proportional to 49,606 and 69,387 is: 97,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,606 : 69,387 = 69,387 : x
  2. Step 2: Convert to fraction form
    49,606/69,387 = 69,387/x
  3. Step 3: Cross multiply
    49,606x = 69,387 × 69,387
  4. Step 4: Simplify right side
    49,606x = 4,814,555,769
  5. Step 5: Solve for x
    x = 4,814,555,769/49,606
  6. Step 6: Final answer
    x = 97,055.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.