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Finding the Third Proportional to 31.64 and 66.09

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Solution

The third proportional to 31.64 and 66.09 is: 138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.64 : 66.09 = 66.09 : x
  2. Step 2: Convert to fraction form
    31.64/66.09 = 66.09/x
  3. Step 3: Cross multiply
    31.64x = 66.09 × 66.09
  4. Step 4: Simplify right side
    31.64x = 4,368.38
  5. Step 5: Solve for x
    x = 4,368.38/31.64
  6. Step 6: Final answer
    x = 138.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.