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Finding the Third Proportional to 48,417.75 and 74,449.13

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Solution

The third proportional to 48,417.75 and 74,449.13 is: 114,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,417.75 : 74,449.13 = 74,449.13 : x
  2. Step 2: Convert to fraction form
    48,417.75/74,449.13 = 74,449.13/x
  3. Step 3: Cross multiply
    48,417.75x = 74,449.13 × 74,449.13
  4. Step 4: Simplify right side
    48,417.75x = 5,542,672,213.27
  5. Step 5: Solve for x
    x = 5,542,672,213.27/48,417.75
  6. Step 6: Final answer
    x = 114,476.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.