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Finding the Third Proportional to 38,220 and 84,217.50

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Solution

The third proportional to 38,220 and 84,217.50 is: 185,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220 : 84,217.50 = 84,217.50 : x
  2. Step 2: Convert to fraction form
    38,220/84,217.50 = 84,217.50/x
  3. Step 3: Cross multiply
    38,220x = 84,217.50 × 84,217.50
  4. Step 4: Simplify right side
    38,220x = 7,092,587,306.25
  5. Step 5: Solve for x
    x = 7,092,587,306.25/38,220
  6. Step 6: Final answer
    x = 185,572.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.