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Finding the Third Proportional to 41.95 and 65.86

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Solution

The third proportional to 41.95 and 65.86 is: 103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.95 : 65.86 = 65.86 : x
  2. Step 2: Convert to fraction form
    41.95/65.86 = 65.86/x
  3. Step 3: Cross multiply
    41.95x = 65.86 × 65.86
  4. Step 4: Simplify right side
    41.95x = 4,337.46
  5. Step 5: Solve for x
    x = 4,337.46/41.95
  6. Step 6: Final answer
    x = 103.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.