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Finding the Third Proportional to 22,378.50 and 48,753

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Solution

The third proportional to 22,378.50 and 48,753 is: 106,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.50 : 48,753 = 48,753 : x
  2. Step 2: Convert to fraction form
    22,378.50/48,753 = 48,753/x
  3. Step 3: Cross multiply
    22,378.50x = 48,753 × 48,753
  4. Step 4: Simplify right side
    22,378.50x = 2,376,855,009
  5. Step 5: Solve for x
    x = 2,376,855,009/22,378.50
  6. Step 6: Final answer
    x = 106,211.54

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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.