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Finding the Third Proportional to 19,498.13 and 39,920.44

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Solution

The third proportional to 19,498.13 and 39,920.44 is: 81,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.13 : 39,920.44 = 39,920.44 : x
  2. Step 2: Convert to fraction form
    19,498.13/39,920.44 = 39,920.44/x
  3. Step 3: Cross multiply
    19,498.13x = 39,920.44 × 39,920.44
  4. Step 4: Simplify right side
    19,498.13x = 1,593,641,330.19
  5. Step 5: Solve for x
    x = 1,593,641,330.19/19,498.13
  6. Step 6: Final answer
    x = 81,733.06

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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.