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Finding the Third Proportional to 2,717.30 and 3,005.86

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Solution

The third proportional to 2,717.30 and 3,005.86 is: 3,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.30 : 3,005.86 = 3,005.86 : x
  2. Step 2: Convert to fraction form
    2,717.30/3,005.86 = 3,005.86/x
  3. Step 3: Cross multiply
    2,717.30x = 3,005.86 × 3,005.86
  4. Step 4: Simplify right side
    2,717.30x = 9,035,190.58
  5. Step 5: Solve for x
    x = 9,035,190.58/2,717.30
  6. Step 6: Final answer
    x = 3,325.07

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.