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Finding the Third Proportional to 10,048 and 19,124

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Solution

The third proportional to 10,048 and 19,124 is: 36,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048 : 19,124 = 19,124 : x
  2. Step 2: Convert to fraction form
    10,048/19,124 = 19,124/x
  3. Step 3: Cross multiply
    10,048x = 19,124 × 19,124
  4. Step 4: Simplify right side
    10,048x = 365,727,376
  5. Step 5: Solve for x
    x = 365,727,376/10,048
  6. Step 6: Final answer
    x = 36,398.03

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.