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Finding the Third Proportional to 9,840 and 15,192

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Solution

The third proportional to 9,840 and 15,192 is: 23,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840 : 15,192 = 15,192 : x
  2. Step 2: Convert to fraction form
    9,840/15,192 = 15,192/x
  3. Step 3: Cross multiply
    9,840x = 15,192 × 15,192
  4. Step 4: Simplify right side
    9,840x = 230,796,864
  5. Step 5: Solve for x
    x = 230,796,864/9,840
  6. Step 6: Final answer
    x = 23,454.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.