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Finding the Third Proportional to 17,667.38 and 24,760.50

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Solution

The third proportional to 17,667.38 and 24,760.50 is: 34,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.38 : 24,760.50 = 24,760.50 : x
  2. Step 2: Convert to fraction form
    17,667.38/24,760.50 = 24,760.50/x
  3. Step 3: Cross multiply
    17,667.38x = 24,760.50 × 24,760.50
  4. Step 4: Simplify right side
    17,667.38x = 613,082,360.25
  5. Step 5: Solve for x
    x = 613,082,360.25/17,667.38
  6. Step 6: Final answer
    x = 34,701.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.