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Finding the Third Proportional to 9.37 and 19.53

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Solution

The third proportional to 9.37 and 19.53 is: 40.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.37 : 19.53 = 19.53 : x
  2. Step 2: Convert to fraction form
    9.37/19.53 = 19.53/x
  3. Step 3: Cross multiply
    9.37x = 19.53 × 19.53
  4. Step 4: Simplify right side
    9.37x = 381.34
  5. Step 5: Solve for x
    x = 381.34/9.37
  6. Step 6: Final answer
    x = 40.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.