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Finding the Third Proportional to 2,657.75 and 3,909.65

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Solution

The third proportional to 2,657.75 and 3,909.65 is: 5,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.75 : 3,909.65 = 3,909.65 : x
  2. Step 2: Convert to fraction form
    2,657.75/3,909.65 = 3,909.65/x
  3. Step 3: Cross multiply
    2,657.75x = 3,909.65 × 3,909.65
  4. Step 4: Simplify right side
    2,657.75x = 15,285,394.81
  5. Step 5: Solve for x
    x = 15,285,394.81/2,657.75
  6. Step 6: Final answer
    x = 5,751.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.