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Finding the Third Proportional to 14,947 and 22,186

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Solution

The third proportional to 14,947 and 22,186 is: 32,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947 : 22,186 = 22,186 : x
  2. Step 2: Convert to fraction form
    14,947/22,186 = 22,186/x
  3. Step 3: Cross multiply
    14,947x = 22,186 × 22,186
  4. Step 4: Simplify right side
    14,947x = 492,218,596
  5. Step 5: Solve for x
    x = 492,218,596/14,947
  6. Step 6: Final answer
    x = 32,930.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.