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Finding the Third Proportional to 19,571 and 26,218.75

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Solution

The third proportional to 19,571 and 26,218.75 is: 35,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571 : 26,218.75 = 26,218.75 : x
  2. Step 2: Convert to fraction form
    19,571/26,218.75 = 26,218.75/x
  3. Step 3: Cross multiply
    19,571x = 26,218.75 × 26,218.75
  4. Step 4: Simplify right side
    19,571x = 687,422,851.56
  5. Step 5: Solve for x
    x = 687,422,851.56/19,571
  6. Step 6: Final answer
    x = 35,124.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.