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Finding the Third Proportional to 2,349.56 and 3,284.72

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Solution

The third proportional to 2,349.56 and 3,284.72 is: 4,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.56 : 3,284.72 = 3,284.72 : x
  2. Step 2: Convert to fraction form
    2,349.56/3,284.72 = 3,284.72/x
  3. Step 3: Cross multiply
    2,349.56x = 3,284.72 × 3,284.72
  4. Step 4: Simplify right side
    2,349.56x = 10,789,377.27
  5. Step 5: Solve for x
    x = 10,789,377.27/2,349.56
  6. Step 6: Final answer
    x = 4,592.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.