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Finding the Third Proportional to 31.10 and 62.60

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Solution

The third proportional to 31.10 and 62.60 is: 126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.10 : 62.60 = 62.60 : x
  2. Step 2: Convert to fraction form
    31.10/62.60 = 62.60/x
  3. Step 3: Cross multiply
    31.10x = 62.60 × 62.60
  4. Step 4: Simplify right side
    31.10x = 3,918.89
  5. Step 5: Solve for x
    x = 3,918.89/31.10
  6. Step 6: Final answer
    x = 126.01

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.