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Finding the Third Proportional to 19,760.44 and 35,135.06

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Solution

The third proportional to 19,760.44 and 35,135.06 is: 62,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760.44 : 35,135.06 = 35,135.06 : x
  2. Step 2: Convert to fraction form
    19,760.44/35,135.06 = 35,135.06/x
  3. Step 3: Cross multiply
    19,760.44x = 35,135.06 × 35,135.06
  4. Step 4: Simplify right side
    19,760.44x = 1,234,472,616.88
  5. Step 5: Solve for x
    x = 1,234,472,616.88/19,760.44
  6. Step 6: Final answer
    x = 62,471.93

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.