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Finding the Third Proportional to 5,471.44 and 12,006.56

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Solution

The third proportional to 5,471.44 and 12,006.56 is: 26,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.44 : 12,006.56 = 12,006.56 : x
  2. Step 2: Convert to fraction form
    5,471.44/12,006.56 = 12,006.56/x
  3. Step 3: Cross multiply
    5,471.44x = 12,006.56 × 12,006.56
  4. Step 4: Simplify right side
    5,471.44x = 144,157,543.07
  5. Step 5: Solve for x
    x = 144,157,543.07/5,471.44
  6. Step 6: Final answer
    x = 26,347.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.