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Finding the Third Proportional to 5,743.72 and 8,875.20

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Solution

The third proportional to 5,743.72 and 8,875.20 is: 13,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.72 : 8,875.20 = 8,875.20 : x
  2. Step 2: Convert to fraction form
    5,743.72/8,875.20 = 8,875.20/x
  3. Step 3: Cross multiply
    5,743.72x = 8,875.20 × 8,875.20
  4. Step 4: Simplify right side
    5,743.72x = 78,769,091.84
  5. Step 5: Solve for x
    x = 78,769,091.84/5,743.72
  6. Step 6: Final answer
    x = 13,713.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.