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Finding the Third Proportional to 2,305.65 and 3,502.14

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Solution

The third proportional to 2,305.65 and 3,502.14 is: 5,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.65 : 3,502.14 = 3,502.14 : x
  2. Step 2: Convert to fraction form
    2,305.65/3,502.14 = 3,502.14/x
  3. Step 3: Cross multiply
    2,305.65x = 3,502.14 × 3,502.14
  4. Step 4: Simplify right side
    2,305.65x = 12,265,002.64
  5. Step 5: Solve for x
    x = 12,265,002.64/2,305.65
  6. Step 6: Final answer
    x = 5,319.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.