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Finding the Third Proportional to 33,582 and 52,415

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Solution

The third proportional to 33,582 and 52,415 is: 81,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,582 : 52,415 = 52,415 : x
  2. Step 2: Convert to fraction form
    33,582/52,415 = 52,415/x
  3. Step 3: Cross multiply
    33,582x = 52,415 × 52,415
  4. Step 4: Simplify right side
    33,582x = 2,747,332,225
  5. Step 5: Solve for x
    x = 2,747,332,225/33,582
  6. Step 6: Final answer
    x = 81,809.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.