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Finding the Third Proportional to 12,260.75 and 19,424.75

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Solution

The third proportional to 12,260.75 and 19,424.75 is: 30,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,260.75 : 19,424.75 = 19,424.75 : x
  2. Step 2: Convert to fraction form
    12,260.75/19,424.75 = 19,424.75/x
  3. Step 3: Cross multiply
    12,260.75x = 19,424.75 × 19,424.75
  4. Step 4: Simplify right side
    12,260.75x = 377,320,912.56
  5. Step 5: Solve for x
    x = 377,320,912.56/12,260.75
  6. Step 6: Final answer
    x = 30,774.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.