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Finding the Third Proportional to 39.83 and 79.66

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Solution

The third proportional to 39.83 and 79.66 is: 159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.83 : 79.66 = 79.66 : x
  2. Step 2: Convert to fraction form
    39.83/79.66 = 79.66/x
  3. Step 3: Cross multiply
    39.83x = 79.66 × 79.66
  4. Step 4: Simplify right side
    39.83x = 6,345.67
  5. Step 5: Solve for x
    x = 6,345.67/39.83
  6. Step 6: Final answer
    x = 159.32

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.