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Finding the Third Proportional to 17,281 and 24,447

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Solution

The third proportional to 17,281 and 24,447 is: 34,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281 : 24,447 = 24,447 : x
  2. Step 2: Convert to fraction form
    17,281/24,447 = 24,447/x
  3. Step 3: Cross multiply
    17,281x = 24,447 × 24,447
  4. Step 4: Simplify right side
    17,281x = 597,655,809
  5. Step 5: Solve for x
    x = 597,655,809/17,281
  6. Step 6: Final answer
    x = 34,584.56

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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.