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Finding the Third Proportional to 1,302.96 and 2,713.92

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Solution

The third proportional to 1,302.96 and 2,713.92 is: 5,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.96 : 2,713.92 = 2,713.92 : x
  2. Step 2: Convert to fraction form
    1,302.96/2,713.92 = 2,713.92/x
  3. Step 3: Cross multiply
    1,302.96x = 2,713.92 × 2,713.92
  4. Step 4: Simplify right side
    1,302.96x = 7,365,371.94
  5. Step 5: Solve for x
    x = 7,365,371.94/1,302.96
  6. Step 6: Final answer
    x = 5,652.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.