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Finding the Third Proportional to 22,165.88 and 48,022.88

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Solution

The third proportional to 22,165.88 and 48,022.88 is: 104,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.88 : 48,022.88 = 48,022.88 : x
  2. Step 2: Convert to fraction form
    22,165.88/48,022.88 = 48,022.88/x
  3. Step 3: Cross multiply
    22,165.88x = 48,022.88 × 48,022.88
  4. Step 4: Simplify right side
    22,165.88x = 2,306,196,523.27
  5. Step 5: Solve for x
    x = 2,306,196,523.27/22,165.88
  6. Step 6: Final answer
    x = 104,042.66

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Why These Related Problems?

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