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Finding the Third Proportional to 22,162.50 and 48,017.50

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Solution

The third proportional to 22,162.50 and 48,017.50 is: 104,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162.50 : 48,017.50 = 48,017.50 : x
  2. Step 2: Convert to fraction form
    22,162.50/48,017.50 = 48,017.50/x
  3. Step 3: Cross multiply
    22,162.50x = 48,017.50 × 48,017.50
  4. Step 4: Simplify right side
    22,162.50x = 2,305,680,306.25
  5. Step 5: Solve for x
    x = 2,305,680,306.25/22,162.50
  6. Step 6: Final answer
    x = 104,035.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.