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Finding the Third Proportional to 22,675.17 and 49,873.85

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Solution

The third proportional to 22,675.17 and 49,873.85 is: 109,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.17 : 49,873.85 = 49,873.85 : x
  2. Step 2: Convert to fraction form
    22,675.17/49,873.85 = 49,873.85/x
  3. Step 3: Cross multiply
    22,675.17x = 49,873.85 × 49,873.85
  4. Step 4: Simplify right side
    22,675.17x = 2,487,401,069.68
  5. Step 5: Solve for x
    x = 2,487,401,069.68/22,675.17
  6. Step 6: Final answer
    x = 109,697.11

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Why These Related Problems?

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