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Finding the Third Proportional to 45,724.50 and 60,687

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Solution

The third proportional to 45,724.50 and 60,687 is: 80,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,724.50 : 60,687 = 60,687 : x
  2. Step 2: Convert to fraction form
    45,724.50/60,687 = 60,687/x
  3. Step 3: Cross multiply
    45,724.50x = 60,687 × 60,687
  4. Step 4: Simplify right side
    45,724.50x = 3,682,911,969
  5. Step 5: Solve for x
    x = 3,682,911,969/45,724.50
  6. Step 6: Final answer
    x = 80,545.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.