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Finding the Third Proportional to 14,366 and 30,919

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Solution

The third proportional to 14,366 and 30,919 is: 66,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366 : 30,919 = 30,919 : x
  2. Step 2: Convert to fraction form
    14,366/30,919 = 30,919/x
  3. Step 3: Cross multiply
    14,366x = 30,919 × 30,919
  4. Step 4: Simplify right side
    14,366x = 955,984,561
  5. Step 5: Solve for x
    x = 955,984,561/14,366
  6. Step 6: Final answer
    x = 66,544.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.