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Finding the Third Proportional to 14,282 and 30,940

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Solution

The third proportional to 14,282 and 30,940 is: 67,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282 : 30,940 = 30,940 : x
  2. Step 2: Convert to fraction form
    14,282/30,940 = 30,940/x
  3. Step 3: Cross multiply
    14,282x = 30,940 × 30,940
  4. Step 4: Simplify right side
    14,282x = 957,283,600
  5. Step 5: Solve for x
    x = 957,283,600/14,282
  6. Step 6: Final answer
    x = 67,027.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.