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Finding the Third Proportional to 8,149.99 and 17,683.95

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Solution

The third proportional to 8,149.99 and 17,683.95 is: 38,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.99 : 17,683.95 = 17,683.95 : x
  2. Step 2: Convert to fraction form
    8,149.99/17,683.95 = 17,683.95/x
  3. Step 3: Cross multiply
    8,149.99x = 17,683.95 × 17,683.95
  4. Step 4: Simplify right side
    8,149.99x = 312,721,921.82
  5. Step 5: Solve for x
    x = 312,721,921.82/8,149.99
  6. Step 6: Final answer
    x = 38,370.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.