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Finding the Third Proportional to 64.75 and 84.13

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Solution

The third proportional to 64.75 and 84.13 is: 109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 84.13 = 84.13 : x
  2. Step 2: Convert to fraction form
    64.75/84.13 = 84.13/x
  3. Step 3: Cross multiply
    64.75x = 84.13 × 84.13
  4. Step 4: Simplify right side
    64.75x = 7,077.02
  5. Step 5: Solve for x
    x = 7,077.02/64.75
  6. Step 6: Final answer
    x = 109.30

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.