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Finding the Third Proportional to 4.26 and 10.01

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Solution

The third proportional to 4.26 and 10.01 is: 23.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.26 : 10.01 = 10.01 : x
  2. Step 2: Convert to fraction form
    4.26/10.01 = 10.01/x
  3. Step 3: Cross multiply
    4.26x = 10.01 × 10.01
  4. Step 4: Simplify right side
    4.26x = 100.19
  5. Step 5: Solve for x
    x = 100.19/4.26
  6. Step 6: Final answer
    x = 23.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.