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Finding the Third Proportional to 19,228.50 and 25,872.75

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Solution

The third proportional to 19,228.50 and 25,872.75 is: 34,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,228.50 : 25,872.75 = 25,872.75 : x
  2. Step 2: Convert to fraction form
    19,228.50/25,872.75 = 25,872.75/x
  3. Step 3: Cross multiply
    19,228.50x = 25,872.75 × 25,872.75
  4. Step 4: Simplify right side
    19,228.50x = 669,399,192.56
  5. Step 5: Solve for x
    x = 669,399,192.56/19,228.50
  6. Step 6: Final answer
    x = 34,812.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.