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Finding the Third Proportional to 24,225 and 49,341

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Solution

The third proportional to 24,225 and 49,341 is: 100,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225 : 49,341 = 49,341 : x
  2. Step 2: Convert to fraction form
    24,225/49,341 = 49,341/x
  3. Step 3: Cross multiply
    24,225x = 49,341 × 49,341
  4. Step 4: Simplify right side
    24,225x = 2,434,534,281
  5. Step 5: Solve for x
    x = 2,434,534,281/24,225
  6. Step 6: Final answer
    x = 100,496.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.