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Finding the Third Proportional to 20,382 and 42,073.50

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Solution

The third proportional to 20,382 and 42,073.50 is: 86,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382 : 42,073.50 = 42,073.50 : x
  2. Step 2: Convert to fraction form
    20,382/42,073.50 = 42,073.50/x
  3. Step 3: Cross multiply
    20,382x = 42,073.50 × 42,073.50
  4. Step 4: Simplify right side
    20,382x = 1,770,179,402.25
  5. Step 5: Solve for x
    x = 1,770,179,402.25/20,382
  6. Step 6: Final answer
    x = 86,850.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.