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Finding the Third Proportional to 48,412.69 and 74,778.19

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Solution

The third proportional to 48,412.69 and 74,778.19 is: 115,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412.69 : 74,778.19 = 74,778.19 : x
  2. Step 2: Convert to fraction form
    48,412.69/74,778.19 = 74,778.19/x
  3. Step 3: Cross multiply
    48,412.69x = 74,778.19 × 74,778.19
  4. Step 4: Simplify right side
    48,412.69x = 5,591,777,325.79
  5. Step 5: Solve for x
    x = 5,591,777,325.79/48,412.69
  6. Step 6: Final answer
    x = 115,502.31

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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.