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Finding the Third Proportional to 64.13 and 85.22

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Solution

The third proportional to 64.13 and 85.22 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 85.22 = 85.22 : x
  2. Step 2: Convert to fraction form
    64.13/85.22 = 85.22/x
  3. Step 3: Cross multiply
    64.13x = 85.22 × 85.22
  4. Step 4: Simplify right side
    64.13x = 7,262.24
  5. Step 5: Solve for x
    x = 7,262.24/64.13
  6. Step 6: Final answer
    x = 113.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.