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Finding the Third Proportional to 23,251.50 and 50,415

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Solution

The third proportional to 23,251.50 and 50,415 is: 109,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.50 : 50,415 = 50,415 : x
  2. Step 2: Convert to fraction form
    23,251.50/50,415 = 50,415/x
  3. Step 3: Cross multiply
    23,251.50x = 50,415 × 50,415
  4. Step 4: Simplify right side
    23,251.50x = 2,541,672,225
  5. Step 5: Solve for x
    x = 2,541,672,225/23,251.50
  6. Step 6: Final answer
    x = 109,312.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.