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Finding the Third Proportional to 7,450.49 and 16,182.42

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Solution

The third proportional to 7,450.49 and 16,182.42 is: 35,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.49 : 16,182.42 = 16,182.42 : x
  2. Step 2: Convert to fraction form
    7,450.49/16,182.42 = 16,182.42/x
  3. Step 3: Cross multiply
    7,450.49x = 16,182.42 × 16,182.42
  4. Step 4: Simplify right side
    7,450.49x = 261,870,777.74
  5. Step 5: Solve for x
    x = 261,870,777.74/7,450.49
  6. Step 6: Final answer
    x = 35,148.14

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Why These Related Problems?

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