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Finding the Third Proportional to 32,967 and 52,415

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Solution

The third proportional to 32,967 and 52,415 is: 83,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 52,415 = 52,415 : x
  2. Step 2: Convert to fraction form
    32,967/52,415 = 52,415/x
  3. Step 3: Cross multiply
    32,967x = 52,415 × 52,415
  4. Step 4: Simplify right side
    32,967x = 2,747,332,225
  5. Step 5: Solve for x
    x = 2,747,332,225/32,967
  6. Step 6: Final answer
    x = 83,335.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.