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Finding the Third Proportional to 2,352 and 6,096

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Solution

The third proportional to 2,352 and 6,096 is: 15,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352 : 6,096 = 6,096 : x
  2. Step 2: Convert to fraction form
    2,352/6,096 = 6,096/x
  3. Step 3: Cross multiply
    2,352x = 6,096 × 6,096
  4. Step 4: Simplify right side
    2,352x = 37,161,216
  5. Step 5: Solve for x
    x = 37,161,216/2,352
  6. Step 6: Final answer
    x = 15,799.84

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.