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Finding the Third Proportional to 48,698 and 73,569

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Solution

The third proportional to 48,698 and 73,569 is: 111,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,698 : 73,569 = 73,569 : x
  2. Step 2: Convert to fraction form
    48,698/73,569 = 73,569/x
  3. Step 3: Cross multiply
    48,698x = 73,569 × 73,569
  4. Step 4: Simplify right side
    48,698x = 5,412,397,761
  5. Step 5: Solve for x
    x = 5,412,397,761/48,698
  6. Step 6: Final answer
    x = 111,142.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.