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Finding the Third Proportional to 9,478 and 14,839

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Solution

The third proportional to 9,478 and 14,839 is: 23,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478 : 14,839 = 14,839 : x
  2. Step 2: Convert to fraction form
    9,478/14,839 = 14,839/x
  3. Step 3: Cross multiply
    9,478x = 14,839 × 14,839
  4. Step 4: Simplify right side
    9,478x = 220,195,921
  5. Step 5: Solve for x
    x = 220,195,921/9,478
  6. Step 6: Final answer
    x = 23,232.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.