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Finding the Third Proportional to 7.52 and 16.23

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Solution

The third proportional to 7.52 and 16.23 is: 35.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.52 : 16.23 = 16.23 : x
  2. Step 2: Convert to fraction form
    7.52/16.23 = 16.23/x
  3. Step 3: Cross multiply
    7.52x = 16.23 × 16.23
  4. Step 4: Simplify right side
    7.52x = 263.46
  5. Step 5: Solve for x
    x = 263.46/7.52
  6. Step 6: Final answer
    x = 35.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.