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Finding the Third Proportional to 33,282 and 51,315

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Solution

The third proportional to 33,282 and 51,315 is: 79,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,282 : 51,315 = 51,315 : x
  2. Step 2: Convert to fraction form
    33,282/51,315 = 51,315/x
  3. Step 3: Cross multiply
    33,282x = 51,315 × 51,315
  4. Step 4: Simplify right side
    33,282x = 2,633,229,225
  5. Step 5: Solve for x
    x = 2,633,229,225/33,282
  6. Step 6: Final answer
    x = 79,118.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.