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Finding the Third Proportional to 39,125.25 and 58,869

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Solution

The third proportional to 39,125.25 and 58,869 is: 88,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,125.25 : 58,869 = 58,869 : x
  2. Step 2: Convert to fraction form
    39,125.25/58,869 = 58,869/x
  3. Step 3: Cross multiply
    39,125.25x = 58,869 × 58,869
  4. Step 4: Simplify right side
    39,125.25x = 3,465,559,161
  5. Step 5: Solve for x
    x = 3,465,559,161/39,125.25
  6. Step 6: Final answer
    x = 88,576.03

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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.