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Finding the Third Proportional to 10,192 and 15,588

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Solution

The third proportional to 10,192 and 15,588 is: 23,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192 : 15,588 = 15,588 : x
  2. Step 2: Convert to fraction form
    10,192/15,588 = 15,588/x
  3. Step 3: Cross multiply
    10,192x = 15,588 × 15,588
  4. Step 4: Simplify right side
    10,192x = 242,985,744
  5. Step 5: Solve for x
    x = 242,985,744/10,192
  6. Step 6: Final answer
    x = 23,840.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.