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Finding the Third Proportional to 17,217 and 24,369.75

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Solution

The third proportional to 17,217 and 24,369.75 is: 34,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,217 : 24,369.75 = 24,369.75 : x
  2. Step 2: Convert to fraction form
    17,217/24,369.75 = 24,369.75/x
  3. Step 3: Cross multiply
    17,217x = 24,369.75 × 24,369.75
  4. Step 4: Simplify right side
    17,217x = 593,884,715.06
  5. Step 5: Solve for x
    x = 593,884,715.06/17,217
  6. Step 6: Final answer
    x = 34,494.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.