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Finding the Third Proportional to 49,376.25 and 74,493

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Solution

The third proportional to 49,376.25 and 74,493 is: 112,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,376.25 : 74,493 = 74,493 : x
  2. Step 2: Convert to fraction form
    49,376.25/74,493 = 74,493/x
  3. Step 3: Cross multiply
    49,376.25x = 74,493 × 74,493
  4. Step 4: Simplify right side
    49,376.25x = 5,549,207,049
  5. Step 5: Solve for x
    x = 5,549,207,049/49,376.25
  6. Step 6: Final answer
    x = 112,386.16

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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.