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Finding the Third Proportional to 11,714.20 and 25,299.42

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Solution

The third proportional to 11,714.20 and 25,299.42 is: 54,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.20 : 25,299.42 = 25,299.42 : x
  2. Step 2: Convert to fraction form
    11,714.20/25,299.42 = 25,299.42/x
  3. Step 3: Cross multiply
    11,714.20x = 25,299.42 × 25,299.42
  4. Step 4: Simplify right side
    11,714.20x = 640,060,747.21
  5. Step 5: Solve for x
    x = 640,060,747.21/11,714.20
  6. Step 6: Final answer
    x = 54,639.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.