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Finding the Third Proportional to 7,429.31 and 16,191.38

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Solution

The third proportional to 7,429.31 and 16,191.38 is: 35,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.31 : 16,191.38 = 16,191.38 : x
  2. Step 2: Convert to fraction form
    7,429.31/16,191.38 = 16,191.38/x
  3. Step 3: Cross multiply
    7,429.31x = 16,191.38 × 16,191.38
  4. Step 4: Simplify right side
    7,429.31x = 262,160,624.39
  5. Step 5: Solve for x
    x = 262,160,624.39/7,429.31
  6. Step 6: Final answer
    x = 35,287.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.