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Finding the Third Proportional to 32,382 and 66,330

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Solution

The third proportional to 32,382 and 66,330 is: 135,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382 : 66,330 = 66,330 : x
  2. Step 2: Convert to fraction form
    32,382/66,330 = 66,330/x
  3. Step 3: Cross multiply
    32,382x = 66,330 × 66,330
  4. Step 4: Simplify right side
    32,382x = 4,399,668,900
  5. Step 5: Solve for x
    x = 4,399,668,900/32,382
  6. Step 6: Final answer
    x = 135,867.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.