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Finding the Third Proportional to 11,749 and 25,289

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Solution

The third proportional to 11,749 and 25,289 is: 54,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749 : 25,289 = 25,289 : x
  2. Step 2: Convert to fraction form
    11,749/25,289 = 25,289/x
  3. Step 3: Cross multiply
    11,749x = 25,289 × 25,289
  4. Step 4: Simplify right side
    11,749x = 639,533,521
  5. Step 5: Solve for x
    x = 639,533,521/11,749
  6. Step 6: Final answer
    x = 54,433.02

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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.