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Finding the Third Proportional to 22,377.75 and 48,750

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Solution

The third proportional to 22,377.75 and 48,750 is: 106,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377.75 : 48,750 = 48,750 : x
  2. Step 2: Convert to fraction form
    22,377.75/48,750 = 48,750/x
  3. Step 3: Cross multiply
    22,377.75x = 48,750 × 48,750
  4. Step 4: Simplify right side
    22,377.75x = 2,376,562,500
  5. Step 5: Solve for x
    x = 2,376,562,500/22,377.75
  6. Step 6: Final answer
    x = 106,202.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.