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Finding the Third Proportional to 49,894.50 and 74,839.13

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Solution

The third proportional to 49,894.50 and 74,839.13 is: 112,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.50 : 74,839.13 = 74,839.13 : x
  2. Step 2: Convert to fraction form
    49,894.50/74,839.13 = 74,839.13/x
  3. Step 3: Cross multiply
    49,894.50x = 74,839.13 × 74,839.13
  4. Step 4: Simplify right side
    49,894.50x = 5,600,894,630.77
  5. Step 5: Solve for x
    x = 5,600,894,630.77/49,894.50
  6. Step 6: Final answer
    x = 112,254.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.