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Finding the Third Proportional to 1,385.86 and 3,027.80

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Solution

The third proportional to 1,385.86 and 3,027.80 is: 6,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.86 : 3,027.80 = 3,027.80 : x
  2. Step 2: Convert to fraction form
    1,385.86/3,027.80 = 3,027.80/x
  3. Step 3: Cross multiply
    1,385.86x = 3,027.80 × 3,027.80
  4. Step 4: Simplify right side
    1,385.86x = 9,167,553.92
  5. Step 5: Solve for x
    x = 9,167,553.92/1,385.86
  6. Step 6: Final answer
    x = 6,615.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.