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Finding the Third Proportional to 39,154.75 and 59,278.75

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Solution

The third proportional to 39,154.75 and 59,278.75 is: 89,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,154.75 : 59,278.75 = 59,278.75 : x
  2. Step 2: Convert to fraction form
    39,154.75/59,278.75 = 59,278.75/x
  3. Step 3: Cross multiply
    39,154.75x = 59,278.75 × 59,278.75
  4. Step 4: Simplify right side
    39,154.75x = 3,513,970,201.56
  5. Step 5: Solve for x
    x = 3,513,970,201.56/39,154.75
  6. Step 6: Final answer
    x = 89,745.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.