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Finding the Third Proportional to 62.44 and 89.86

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Solution

The third proportional to 62.44 and 89.86 is: 129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.44 : 89.86 = 89.86 : x
  2. Step 2: Convert to fraction form
    62.44/89.86 = 89.86/x
  3. Step 3: Cross multiply
    62.44x = 89.86 × 89.86
  4. Step 4: Simplify right side
    62.44x = 8,074.71
  5. Step 5: Solve for x
    x = 8,074.71/62.44
  6. Step 6: Final answer
    x = 129.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.