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Finding the Third Proportional to 9,306.14 and 17,701.03

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Solution

The third proportional to 9,306.14 and 17,701.03 is: 33,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.14 : 17,701.03 = 17,701.03 : x
  2. Step 2: Convert to fraction form
    9,306.14/17,701.03 = 17,701.03/x
  3. Step 3: Cross multiply
    9,306.14x = 17,701.03 × 17,701.03
  4. Step 4: Simplify right side
    9,306.14x = 313,326,507.31
  5. Step 5: Solve for x
    x = 313,326,507.31/9,306.14
  6. Step 6: Final answer
    x = 33,668.79

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.