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Finding the Third Proportional to 36,721 and 49,545.50

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Solution

The third proportional to 36,721 and 49,545.50 is: 66,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,721 : 49,545.50 = 49,545.50 : x
  2. Step 2: Convert to fraction form
    36,721/49,545.50 = 49,545.50/x
  3. Step 3: Cross multiply
    36,721x = 49,545.50 × 49,545.50
  4. Step 4: Simplify right side
    36,721x = 2,454,756,570.25
  5. Step 5: Solve for x
    x = 2,454,756,570.25/36,721
  6. Step 6: Final answer
    x = 66,848.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.