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Finding the Third Proportional to 4,713.19 and 9,306.56

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Solution

The third proportional to 4,713.19 and 9,306.56 is: 18,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.19 : 9,306.56 = 9,306.56 : x
  2. Step 2: Convert to fraction form
    4,713.19/9,306.56 = 9,306.56/x
  3. Step 3: Cross multiply
    4,713.19x = 9,306.56 × 9,306.56
  4. Step 4: Simplify right side
    4,713.19x = 86,612,105.57
  5. Step 5: Solve for x
    x = 86,612,105.57/4,713.19
  6. Step 6: Final answer
    x = 18,376.55

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.