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Finding the Third Proportional to 17,209 and 24,235

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Solution

The third proportional to 17,209 and 24,235 is: 34,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209 : 24,235 = 24,235 : x
  2. Step 2: Convert to fraction form
    17,209/24,235 = 24,235/x
  3. Step 3: Cross multiply
    17,209x = 24,235 × 24,235
  4. Step 4: Simplify right side
    17,209x = 587,335,225
  5. Step 5: Solve for x
    x = 587,335,225/17,209
  6. Step 6: Final answer
    x = 34,129.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.