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Finding the Third Proportional to 16,750 and 36,415

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Solution

The third proportional to 16,750 and 36,415 is: 79,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,750 : 36,415 = 36,415 : x
  2. Step 2: Convert to fraction form
    16,750/36,415 = 36,415/x
  3. Step 3: Cross multiply
    16,750x = 36,415 × 36,415
  4. Step 4: Simplify right side
    16,750x = 1,326,052,225
  5. Step 5: Solve for x
    x = 1,326,052,225/16,750
  6. Step 6: Final answer
    x = 79,167.30

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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.