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Finding the Third Proportional to 49,197.38 and 74,378.25

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Solution

The third proportional to 49,197.38 and 74,378.25 is: 112,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,197.38 : 74,378.25 = 74,378.25 : x
  2. Step 2: Convert to fraction form
    49,197.38/74,378.25 = 74,378.25/x
  3. Step 3: Cross multiply
    49,197.38x = 74,378.25 × 74,378.25
  4. Step 4: Simplify right side
    49,197.38x = 5,532,124,073.06
  5. Step 5: Solve for x
    x = 5,532,124,073.06/49,197.38
  6. Step 6: Final answer
    x = 112,447.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.