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Finding the Third Proportional to 31.63 and 69.41

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Solution

The third proportional to 31.63 and 69.41 is: 152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.63 : 69.41 = 69.41 : x
  2. Step 2: Convert to fraction form
    31.63/69.41 = 69.41/x
  3. Step 3: Cross multiply
    31.63x = 69.41 × 69.41
  4. Step 4: Simplify right side
    31.63x = 4,817.23
  5. Step 5: Solve for x
    x = 4,817.23/31.63
  6. Step 6: Final answer
    x = 152.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.