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Finding the Third Proportional to 19,372.50 and 25,350

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Solution

The third proportional to 19,372.50 and 25,350 is: 33,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,372.50 : 25,350 = 25,350 : x
  2. Step 2: Convert to fraction form
    19,372.50/25,350 = 25,350/x
  3. Step 3: Cross multiply
    19,372.50x = 25,350 × 25,350
  4. Step 4: Simplify right side
    19,372.50x = 642,622,500
  5. Step 5: Solve for x
    x = 642,622,500/19,372.50
  6. Step 6: Final answer
    x = 33,171.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.