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Finding the Third Proportional to 49,640 and 75,630

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Solution

The third proportional to 49,640 and 75,630 is: 115,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,640 : 75,630 = 75,630 : x
  2. Step 2: Convert to fraction form
    49,640/75,630 = 75,630/x
  3. Step 3: Cross multiply
    49,640x = 75,630 × 75,630
  4. Step 4: Simplify right side
    49,640x = 5,719,896,900
  5. Step 5: Solve for x
    x = 5,719,896,900/49,640
  6. Step 6: Final answer
    x = 115,227.58

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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.