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Finding the Third Proportional to 5.24 and 9.29

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Solution

The third proportional to 5.24 and 9.29 is: 16.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.24 : 9.29 = 9.29 : x
  2. Step 2: Convert to fraction form
    5.24/9.29 = 9.29/x
  3. Step 3: Cross multiply
    5.24x = 9.29 × 9.29
  4. Step 4: Simplify right side
    5.24x = 86.34
  5. Step 5: Solve for x
    x = 86.34/5.24
  6. Step 6: Final answer
    x = 16.49

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.