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Finding the Third Proportional to 10,588 and 19,474

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Solution

The third proportional to 10,588 and 19,474 is: 35,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588 : 19,474 = 19,474 : x
  2. Step 2: Convert to fraction form
    10,588/19,474 = 19,474/x
  3. Step 3: Cross multiply
    10,588x = 19,474 × 19,474
  4. Step 4: Simplify right side
    10,588x = 379,236,676
  5. Step 5: Solve for x
    x = 379,236,676/10,588
  6. Step 6: Final answer
    x = 35,817.59

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.