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Finding the Third Proportional to 66.45 and 97.29

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Solution

The third proportional to 66.45 and 97.29 is: 142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.45 : 97.29 = 97.29 : x
  2. Step 2: Convert to fraction form
    66.45/97.29 = 97.29/x
  3. Step 3: Cross multiply
    66.45x = 97.29 × 97.29
  4. Step 4: Simplify right side
    66.45x = 9,466.30
  5. Step 5: Solve for x
    x = 9,466.30/66.45
  6. Step 6: Final answer
    x = 142.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.