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Finding the Third Proportional to 49,765.50 and 75,438

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Solution

The third proportional to 49,765.50 and 75,438 is: 114,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,765.50 : 75,438 = 75,438 : x
  2. Step 2: Convert to fraction form
    49,765.50/75,438 = 75,438/x
  3. Step 3: Cross multiply
    49,765.50x = 75,438 × 75,438
  4. Step 4: Simplify right side
    49,765.50x = 5,690,891,844
  5. Step 5: Solve for x
    x = 5,690,891,844/49,765.50
  6. Step 6: Final answer
    x = 114,354.16

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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.