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Finding the Third Proportional to 26.10 and 63.12

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Solution

The third proportional to 26.10 and 63.12 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.10 : 63.12 = 63.12 : x
  2. Step 2: Convert to fraction form
    26.10/63.12 = 63.12/x
  3. Step 3: Cross multiply
    26.10x = 63.12 × 63.12
  4. Step 4: Simplify right side
    26.10x = 3,984.52
  5. Step 5: Solve for x
    x = 3,984.52/26.10
  6. Step 6: Final answer
    x = 152.64

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.