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Finding the Third Proportional to 4.61 and 5.92

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Solution

The third proportional to 4.61 and 5.92 is: 7.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.61 : 5.92 = 5.92 : x
  2. Step 2: Convert to fraction form
    4.61/5.92 = 5.92/x
  3. Step 3: Cross multiply
    4.61x = 5.92 × 5.92
  4. Step 4: Simplify right side
    4.61x = 35.03
  5. Step 5: Solve for x
    x = 35.03/4.61
  6. Step 6: Final answer
    x = 7.59

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.