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Finding the Third Proportional to 2,781 and 4,502.25

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Solution

The third proportional to 2,781 and 4,502.25 is: 7,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 4,502.25 = 4,502.25 : x
  2. Step 2: Convert to fraction form
    2,781/4,502.25 = 4,502.25/x
  3. Step 3: Cross multiply
    2,781x = 4,502.25 × 4,502.25
  4. Step 4: Simplify right side
    2,781x = 20,270,255.06
  5. Step 5: Solve for x
    x = 20,270,255.06/2,781
  6. Step 6: Final answer
    x = 7,288.84

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.