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Finding the Third Proportional to 8,982.56 and 19,799.44

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Solution

The third proportional to 8,982.56 and 19,799.44 is: 43,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.56 : 19,799.44 = 19,799.44 : x
  2. Step 2: Convert to fraction form
    8,982.56/19,799.44 = 19,799.44/x
  3. Step 3: Cross multiply
    8,982.56x = 19,799.44 × 19,799.44
  4. Step 4: Simplify right side
    8,982.56x = 392,017,725.32
  5. Step 5: Solve for x
    x = 392,017,725.32/8,982.56
  6. Step 6: Final answer
    x = 43,642.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.