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Finding the Third Proportional to 22,518.28 and 49,000.22

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Solution

The third proportional to 22,518.28 and 49,000.22 is: 106,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.28 : 49,000.22 = 49,000.22 : x
  2. Step 2: Convert to fraction form
    22,518.28/49,000.22 = 49,000.22/x
  3. Step 3: Cross multiply
    22,518.28x = 49,000.22 × 49,000.22
  4. Step 4: Simplify right side
    22,518.28x = 2,401,021,437.55
  5. Step 5: Solve for x
    x = 2,401,021,437.55/22,518.28
  6. Step 6: Final answer
    x = 106,625.43

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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.