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Finding the Third Proportional to 11,484 and 25,223

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Solution

The third proportional to 11,484 and 25,223 is: 55,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484 : 25,223 = 25,223 : x
  2. Step 2: Convert to fraction form
    11,484/25,223 = 25,223/x
  3. Step 3: Cross multiply
    11,484x = 25,223 × 25,223
  4. Step 4: Simplify right side
    11,484x = 636,199,729
  5. Step 5: Solve for x
    x = 636,199,729/11,484
  6. Step 6: Final answer
    x = 55,398.79

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