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Finding the Third Proportional to 11,225 and 24,415

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Solution

The third proportional to 11,225 and 24,415 is: 53,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225 : 24,415 = 24,415 : x
  2. Step 2: Convert to fraction form
    11,225/24,415 = 24,415/x
  3. Step 3: Cross multiply
    11,225x = 24,415 × 24,415
  4. Step 4: Simplify right side
    11,225x = 596,092,225
  5. Step 5: Solve for x
    x = 596,092,225/11,225
  6. Step 6: Final answer
    x = 53,103.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.