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Finding the Third Proportional to 5.07 and 7.26

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Solution

The third proportional to 5.07 and 7.26 is: 10.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.07 : 7.26 = 7.26 : x
  2. Step 2: Convert to fraction form
    5.07/7.26 = 7.26/x
  3. Step 3: Cross multiply
    5.07x = 7.26 × 7.26
  4. Step 4: Simplify right side
    5.07x = 52.77
  5. Step 5: Solve for x
    x = 52.77/5.07
  6. Step 6: Final answer
    x = 10.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.