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Finding the Third Proportional to 0.66 and 6.38

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Solution

The third proportional to 0.66 and 6.38 is: 61.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.66 : 6.38 = 6.38 : x
  2. Step 2: Convert to fraction form
    0.66/6.38 = 6.38/x
  3. Step 3: Cross multiply
    0.66x = 6.38 × 6.38
  4. Step 4: Simplify right side
    0.66x = 40.64
  5. Step 5: Solve for x
    x = 40.64/0.66
  6. Step 6: Final answer
    x = 61.93

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Why These Related Problems?

These problems maintain the same ratio (9.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.