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Finding the Third Proportional to 7,387.31 and 16,209.84

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Solution

The third proportional to 7,387.31 and 16,209.84 is: 35,568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.31 : 16,209.84 = 16,209.84 : x
  2. Step 2: Convert to fraction form
    7,387.31/16,209.84 = 16,209.84/x
  3. Step 3: Cross multiply
    7,387.31x = 16,209.84 × 16,209.84
  4. Step 4: Simplify right side
    7,387.31x = 262,759,034.40
  5. Step 5: Solve for x
    x = 262,759,034.40/7,387.31
  6. Step 6: Final answer
    x = 35,568.96

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