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Finding the Third Proportional to 39,177 and 58,617

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Solution

The third proportional to 39,177 and 58,617 is: 87,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,177 : 58,617 = 58,617 : x
  2. Step 2: Convert to fraction form
    39,177/58,617 = 58,617/x
  3. Step 3: Cross multiply
    39,177x = 58,617 × 58,617
  4. Step 4: Simplify right side
    39,177x = 3,435,952,689
  5. Step 5: Solve for x
    x = 3,435,952,689/39,177
  6. Step 6: Final answer
    x = 87,703.31

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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.