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Finding the Third Proportional to 11,394 and 25,031

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Solution

The third proportional to 11,394 and 25,031 is: 54,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394 : 25,031 = 25,031 : x
  2. Step 2: Convert to fraction form
    11,394/25,031 = 25,031/x
  3. Step 3: Cross multiply
    11,394x = 25,031 × 25,031
  4. Step 4: Simplify right side
    11,394x = 626,550,961
  5. Step 5: Solve for x
    x = 626,550,961/11,394
  6. Step 6: Final answer
    x = 54,989.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.