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Finding the Third Proportional to 10,291 and 13,947

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Solution

The third proportional to 10,291 and 13,947 is: 18,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291 : 13,947 = 13,947 : x
  2. Step 2: Convert to fraction form
    10,291/13,947 = 13,947/x
  3. Step 3: Cross multiply
    10,291x = 13,947 × 13,947
  4. Step 4: Simplify right side
    10,291x = 194,518,809
  5. Step 5: Solve for x
    x = 194,518,809/10,291
  6. Step 6: Final answer
    x = 18,901.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.