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Finding the Third Proportional to 49,583 and 75,534

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Solution

The third proportional to 49,583 and 75,534 is: 115,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,583 : 75,534 = 75,534 : x
  2. Step 2: Convert to fraction form
    49,583/75,534 = 75,534/x
  3. Step 3: Cross multiply
    49,583x = 75,534 × 75,534
  4. Step 4: Simplify right side
    49,583x = 5,705,385,156
  5. Step 5: Solve for x
    x = 5,705,385,156/49,583
  6. Step 6: Final answer
    x = 115,067.36

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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.