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Finding the Third Proportional to 8,098.73 and 17,701.03

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Solution

The third proportional to 8,098.73 and 17,701.03 is: 38,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.73 : 17,701.03 = 17,701.03 : x
  2. Step 2: Convert to fraction form
    8,098.73/17,701.03 = 17,701.03/x
  3. Step 3: Cross multiply
    8,098.73x = 17,701.03 × 17,701.03
  4. Step 4: Simplify right side
    8,098.73x = 313,326,507.31
  5. Step 5: Solve for x
    x = 313,326,507.31/8,098.73
  6. Step 6: Final answer
    x = 38,688.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.