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Finding the Third Proportional to 43,382 and 65,620

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Solution

The third proportional to 43,382 and 65,620 is: 99,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,382 : 65,620 = 65,620 : x
  2. Step 2: Convert to fraction form
    43,382/65,620 = 65,620/x
  3. Step 3: Cross multiply
    43,382x = 65,620 × 65,620
  4. Step 4: Simplify right side
    43,382x = 4,305,984,400
  5. Step 5: Solve for x
    x = 4,305,984,400/43,382
  6. Step 6: Final answer
    x = 99,257.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.