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Finding the Third Proportional to 11,723 and 25,287

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Solution

The third proportional to 11,723 and 25,287 is: 54,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723 : 25,287 = 25,287 : x
  2. Step 2: Convert to fraction form
    11,723/25,287 = 25,287/x
  3. Step 3: Cross multiply
    11,723x = 25,287 × 25,287
  4. Step 4: Simplify right side
    11,723x = 639,432,369
  5. Step 5: Solve for x
    x = 639,432,369/11,723
  6. Step 6: Final answer
    x = 54,545.11

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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.