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Finding the Third Proportional to 17,970 and 24,414

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Solution

The third proportional to 17,970 and 24,414 is: 33,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970 : 24,414 = 24,414 : x
  2. Step 2: Convert to fraction form
    17,970/24,414 = 24,414/x
  3. Step 3: Cross multiply
    17,970x = 24,414 × 24,414
  4. Step 4: Simplify right side
    17,970x = 596,043,396
  5. Step 5: Solve for x
    x = 596,043,396/17,970
  6. Step 6: Final answer
    x = 33,168.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.