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Finding the Third Proportional to 12,471.56 and 18,342.75

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Solution

The third proportional to 12,471.56 and 18,342.75 is: 26,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.56 : 18,342.75 = 18,342.75 : x
  2. Step 2: Convert to fraction form
    12,471.56/18,342.75 = 18,342.75/x
  3. Step 3: Cross multiply
    12,471.56x = 18,342.75 × 18,342.75
  4. Step 4: Simplify right side
    12,471.56x = 336,456,477.56
  5. Step 5: Solve for x
    x = 336,456,477.56/12,471.56
  6. Step 6: Final answer
    x = 26,977.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.