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Finding the Third Proportional to 8,318.95 and 17,868.09

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Solution

The third proportional to 8,318.95 and 17,868.09 is: 38,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.95 : 17,868.09 = 17,868.09 : x
  2. Step 2: Convert to fraction form
    8,318.95/17,868.09 = 17,868.09/x
  3. Step 3: Cross multiply
    8,318.95x = 17,868.09 × 17,868.09
  4. Step 4: Simplify right side
    8,318.95x = 319,268,774.26
  5. Step 5: Solve for x
    x = 319,268,774.26/8,318.95
  6. Step 6: Final answer
    x = 38,378.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.