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Finding the Third Proportional to 22,188 and 48,686

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Solution

The third proportional to 22,188 and 48,686 is: 106,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,188 : 48,686 = 48,686 : x
  2. Step 2: Convert to fraction form
    22,188/48,686 = 48,686/x
  3. Step 3: Cross multiply
    22,188x = 48,686 × 48,686
  4. Step 4: Simplify right side
    22,188x = 2,370,326,596
  5. Step 5: Solve for x
    x = 2,370,326,596/22,188
  6. Step 6: Final answer
    x = 106,829.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.