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Finding the Third Proportional to 48,035.13 and 76,737.25

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Solution

The third proportional to 48,035.13 and 76,737.25 is: 122,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,035.13 : 76,737.25 = 76,737.25 : x
  2. Step 2: Convert to fraction form
    48,035.13/76,737.25 = 76,737.25/x
  3. Step 3: Cross multiply
    48,035.13x = 76,737.25 × 76,737.25
  4. Step 4: Simplify right side
    48,035.13x = 5,888,605,537.56
  5. Step 5: Solve for x
    x = 5,888,605,537.56/48,035.13
  6. Step 6: Final answer
    x = 122,589.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.