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Finding the Third Proportional to 55.69 and 83.64

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Solution

The third proportional to 55.69 and 83.64 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.69 : 83.64 = 83.64 : x
  2. Step 2: Convert to fraction form
    55.69/83.64 = 83.64/x
  3. Step 3: Cross multiply
    55.69x = 83.64 × 83.64
  4. Step 4: Simplify right side
    55.69x = 6,995.10
  5. Step 5: Solve for x
    x = 6,995.10/55.69
  6. Step 6: Final answer
    x = 125.61

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