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Finding the Third Proportional to 3,027.09 and 6,532.03

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Solution

The third proportional to 3,027.09 and 6,532.03 is: 14,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.09 : 6,532.03 = 6,532.03 : x
  2. Step 2: Convert to fraction form
    3,027.09/6,532.03 = 6,532.03/x
  3. Step 3: Cross multiply
    3,027.09x = 6,532.03 × 6,532.03
  4. Step 4: Simplify right side
    3,027.09x = 42,667,432.25
  5. Step 5: Solve for x
    x = 42,667,432.25/3,027.09
  6. Step 6: Final answer
    x = 14,095.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.