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Finding the Third Proportional to 64.94 and 95.38

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Solution

The third proportional to 64.94 and 95.38 is: 140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.94 : 95.38 = 95.38 : x
  2. Step 2: Convert to fraction form
    64.94/95.38 = 95.38/x
  3. Step 3: Cross multiply
    64.94x = 95.38 × 95.38
  4. Step 4: Simplify right side
    64.94x = 9,096.39
  5. Step 5: Solve for x
    x = 9,096.39/64.94
  6. Step 6: Final answer
    x = 140.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.