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Finding the Third Proportional to 43.66 and 61.07

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Solution

The third proportional to 43.66 and 61.07 is: 85.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.66 : 61.07 = 61.07 : x
  2. Step 2: Convert to fraction form
    43.66/61.07 = 61.07/x
  3. Step 3: Cross multiply
    43.66x = 61.07 × 61.07
  4. Step 4: Simplify right side
    43.66x = 3,729.11
  5. Step 5: Solve for x
    x = 3,729.11/43.66
  6. Step 6: Final answer
    x = 85.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.