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Finding the Third Proportional to 48,986 and 71,475

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Solution

The third proportional to 48,986 and 71,475 is: 104,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,986 : 71,475 = 71,475 : x
  2. Step 2: Convert to fraction form
    48,986/71,475 = 71,475/x
  3. Step 3: Cross multiply
    48,986x = 71,475 × 71,475
  4. Step 4: Simplify right side
    48,986x = 5,108,675,625
  5. Step 5: Solve for x
    x = 5,108,675,625/48,986
  6. Step 6: Final answer
    x = 104,288.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.