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Finding the Third Proportional to 33,216 and 51,432

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Solution

The third proportional to 33,216 and 51,432 is: 79,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,216 : 51,432 = 51,432 : x
  2. Step 2: Convert to fraction form
    33,216/51,432 = 51,432/x
  3. Step 3: Cross multiply
    33,216x = 51,432 × 51,432
  4. Step 4: Simplify right side
    33,216x = 2,645,250,624
  5. Step 5: Solve for x
    x = 2,645,250,624/33,216
  6. Step 6: Final answer
    x = 79,637.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.