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Finding the Third Proportional to 39,376.50 and 59,049.56

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Solution

The third proportional to 39,376.50 and 59,049.56 is: 88,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,376.50 : 59,049.56 = 59,049.56 : x
  2. Step 2: Convert to fraction form
    39,376.50/59,049.56 = 59,049.56/x
  3. Step 3: Cross multiply
    39,376.50x = 59,049.56 × 59,049.56
  4. Step 4: Simplify right side
    39,376.50x = 3,486,850,831.44
  5. Step 5: Solve for x
    x = 3,486,850,831.44/39,376.50
  6. Step 6: Final answer
    x = 88,551.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.