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Finding the Third Proportional to 22,142 and 48,163

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Solution

The third proportional to 22,142 and 48,163 is: 104,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142 : 48,163 = 48,163 : x
  2. Step 2: Convert to fraction form
    22,142/48,163 = 48,163/x
  3. Step 3: Cross multiply
    22,142x = 48,163 × 48,163
  4. Step 4: Simplify right side
    22,142x = 2,319,674,569
  5. Step 5: Solve for x
    x = 2,319,674,569/22,142
  6. Step 6: Final answer
    x = 104,763.55

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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.