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Finding the Third Proportional to 11,934 and 25,409

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Solution

The third proportional to 11,934 and 25,409 is: 54,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934 : 25,409 = 25,409 : x
  2. Step 2: Convert to fraction form
    11,934/25,409 = 25,409/x
  3. Step 3: Cross multiply
    11,934x = 25,409 × 25,409
  4. Step 4: Simplify right side
    11,934x = 645,617,281
  5. Step 5: Solve for x
    x = 645,617,281/11,934
  6. Step 6: Final answer
    x = 54,098.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.