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Finding the Third Proportional to 13,331 and 22,216

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Solution

The third proportional to 13,331 and 22,216 is: 37,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,331 : 22,216 = 22,216 : x
  2. Step 2: Convert to fraction form
    13,331/22,216 = 22,216/x
  3. Step 3: Cross multiply
    13,331x = 22,216 × 22,216
  4. Step 4: Simplify right side
    13,331x = 493,550,656
  5. Step 5: Solve for x
    x = 493,550,656/13,331
  6. Step 6: Final answer
    x = 37,022.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.