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Finding the Third Proportional to 48,399.75 and 77,972.63

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Solution

The third proportional to 48,399.75 and 77,972.63 is: 125,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,399.75 : 77,972.63 = 77,972.63 : x
  2. Step 2: Convert to fraction form
    48,399.75/77,972.63 = 77,972.63/x
  3. Step 3: Cross multiply
    48,399.75x = 77,972.63 × 77,972.63
  4. Step 4: Simplify right side
    48,399.75x = 6,079,730,249.39
  5. Step 5: Solve for x
    x = 6,079,730,249.39/48,399.75
  6. Step 6: Final answer
    x = 125,614.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.