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Finding the Third Proportional to 4.61 and 6.86

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Solution

The third proportional to 4.61 and 6.86 is: 10.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.61 : 6.86 = 6.86 : x
  2. Step 2: Convert to fraction form
    4.61/6.86 = 6.86/x
  3. Step 3: Cross multiply
    4.61x = 6.86 × 6.86
  4. Step 4: Simplify right side
    4.61x = 47.00
  5. Step 5: Solve for x
    x = 47.00/4.61
  6. Step 6: Final answer
    x = 10.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.