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Finding the Third Proportional to 40.64 and 63.21

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Solution

The third proportional to 40.64 and 63.21 is: 98.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.64 : 63.21 = 63.21 : x
  2. Step 2: Convert to fraction form
    40.64/63.21 = 63.21/x
  3. Step 3: Cross multiply
    40.64x = 63.21 × 63.21
  4. Step 4: Simplify right side
    40.64x = 3,995.62
  5. Step 5: Solve for x
    x = 3,995.62/40.64
  6. Step 6: Final answer
    x = 98.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.