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Finding the Third Proportional to 2,412 and 5,295

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Solution

The third proportional to 2,412 and 5,295 is: 11,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412 : 5,295 = 5,295 : x
  2. Step 2: Convert to fraction form
    2,412/5,295 = 5,295/x
  3. Step 3: Cross multiply
    2,412x = 5,295 × 5,295
  4. Step 4: Simplify right side
    2,412x = 28,037,025
  5. Step 5: Solve for x
    x = 28,037,025/2,412
  6. Step 6: Final answer
    x = 11,623.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.