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Finding the Third Proportional to 43.51 and 89.86

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Solution

The third proportional to 43.51 and 89.86 is: 185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.51 : 89.86 = 89.86 : x
  2. Step 2: Convert to fraction form
    43.51/89.86 = 89.86/x
  3. Step 3: Cross multiply
    43.51x = 89.86 × 89.86
  4. Step 4: Simplify right side
    43.51x = 8,074.71
  5. Step 5: Solve for x
    x = 8,074.71/43.51
  6. Step 6: Final answer
    x = 185.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.