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Finding the Third Proportional to 19,739.50 and 25,610

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Solution

The third proportional to 19,739.50 and 25,610 is: 33,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739.50 : 25,610 = 25,610 : x
  2. Step 2: Convert to fraction form
    19,739.50/25,610 = 25,610/x
  3. Step 3: Cross multiply
    19,739.50x = 25,610 × 25,610
  4. Step 4: Simplify right side
    19,739.50x = 655,872,100
  5. Step 5: Solve for x
    x = 655,872,100/19,739.50
  6. Step 6: Final answer
    x = 33,226.38

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.