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Finding the Third Proportional to 49,592 and 75,548

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Solution

The third proportional to 49,592 and 75,548 is: 115,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,592 : 75,548 = 75,548 : x
  2. Step 2: Convert to fraction form
    49,592/75,548 = 75,548/x
  3. Step 3: Cross multiply
    49,592x = 75,548 × 75,548
  4. Step 4: Simplify right side
    49,592x = 5,707,500,304
  5. Step 5: Solve for x
    x = 5,707,500,304/49,592
  6. Step 6: Final answer
    x = 115,089.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.