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Finding the Third Proportional to 2.61 and 4.78

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Solution

The third proportional to 2.61 and 4.78 is: 8.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.61 : 4.78 = 4.78 : x
  2. Step 2: Convert to fraction form
    2.61/4.78 = 4.78/x
  3. Step 3: Cross multiply
    2.61x = 4.78 × 4.78
  4. Step 4: Simplify right side
    2.61x = 22.83
  5. Step 5: Solve for x
    x = 22.83/2.61
  6. Step 6: Final answer
    x = 8.76

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.