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Finding the Third Proportional to 64.38 and 99.69

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Solution

The third proportional to 64.38 and 99.69 is: 154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.38 : 99.69 = 99.69 : x
  2. Step 2: Convert to fraction form
    64.38/99.69 = 99.69/x
  3. Step 3: Cross multiply
    64.38x = 99.69 × 99.69
  4. Step 4: Simplify right side
    64.38x = 9,937.60
  5. Step 5: Solve for x
    x = 9,937.60/64.38
  6. Step 6: Final answer
    x = 154.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.