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Finding the Third Proportional to 33,489 and 45,482

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Solution

The third proportional to 33,489 and 45,482 is: 61,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,489 : 45,482 = 45,482 : x
  2. Step 2: Convert to fraction form
    33,489/45,482 = 45,482/x
  3. Step 3: Cross multiply
    33,489x = 45,482 × 45,482
  4. Step 4: Simplify right side
    33,489x = 2,068,612,324
  5. Step 5: Solve for x
    x = 2,068,612,324/33,489
  6. Step 6: Final answer
    x = 61,769.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.