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Finding the Third Proportional to 19,659 and 27,382.50

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Solution

The third proportional to 19,659 and 27,382.50 is: 38,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659 : 27,382.50 = 27,382.50 : x
  2. Step 2: Convert to fraction form
    19,659/27,382.50 = 27,382.50/x
  3. Step 3: Cross multiply
    19,659x = 27,382.50 × 27,382.50
  4. Step 4: Simplify right side
    19,659x = 749,801,306.25
  5. Step 5: Solve for x
    x = 749,801,306.25/19,659
  6. Step 6: Final answer
    x = 38,140.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.