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Finding the Third Proportional to 44.58 and 66.87

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Solution

The third proportional to 44.58 and 66.87 is: 100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.58 : 66.87 = 66.87 : x
  2. Step 2: Convert to fraction form
    44.58/66.87 = 66.87/x
  3. Step 3: Cross multiply
    44.58x = 66.87 × 66.87
  4. Step 4: Simplify right side
    44.58x = 4,471.22
  5. Step 5: Solve for x
    x = 4,471.22/44.58
  6. Step 6: Final answer
    x = 100.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.