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Finding the Third Proportional to 32.25 and 68.25

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Solution

The third proportional to 32.25 and 68.25 is: 144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.25 : 68.25 = 68.25 : x
  2. Step 2: Convert to fraction form
    32.25/68.25 = 68.25/x
  3. Step 3: Cross multiply
    32.25x = 68.25 × 68.25
  4. Step 4: Simplify right side
    32.25x = 4,658.06
  5. Step 5: Solve for x
    x = 4,658.06/32.25
  6. Step 6: Final answer
    x = 144.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.