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Finding the Third Proportional to 12,228 and 25,413

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Solution

The third proportional to 12,228 and 25,413 is: 52,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228 : 25,413 = 25,413 : x
  2. Step 2: Convert to fraction form
    12,228/25,413 = 25,413/x
  3. Step 3: Cross multiply
    12,228x = 25,413 × 25,413
  4. Step 4: Simplify right side
    12,228x = 645,820,569
  5. Step 5: Solve for x
    x = 645,820,569/12,228
  6. Step 6: Final answer
    x = 52,814.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.