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Finding the Third Proportional to 6,006 and 12,471.75

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Solution

The third proportional to 6,006 and 12,471.75 is: 25,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006 : 12,471.75 = 12,471.75 : x
  2. Step 2: Convert to fraction form
    6,006/12,471.75 = 12,471.75/x
  3. Step 3: Cross multiply
    6,006x = 12,471.75 × 12,471.75
  4. Step 4: Simplify right side
    6,006x = 155,544,548.06
  5. Step 5: Solve for x
    x = 155,544,548.06/6,006
  6. Step 6: Final answer
    x = 25,898.19

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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.