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Finding the Third Proportional to 39,158.75 and 58,825

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Solution

The third proportional to 39,158.75 and 58,825 is: 88,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,158.75 : 58,825 = 58,825 : x
  2. Step 2: Convert to fraction form
    39,158.75/58,825 = 58,825/x
  3. Step 3: Cross multiply
    39,158.75x = 58,825 × 58,825
  4. Step 4: Simplify right side
    39,158.75x = 3,460,380,625
  5. Step 5: Solve for x
    x = 3,460,380,625/39,158.75
  6. Step 6: Final answer
    x = 88,368.01

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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.