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Finding the Third Proportional to 9.37 and 21.87

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Solution

The third proportional to 9.37 and 21.87 is: 51.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.37 : 21.87 = 21.87 : x
  2. Step 2: Convert to fraction form
    9.37/21.87 = 21.87/x
  3. Step 3: Cross multiply
    9.37x = 21.87 × 21.87
  4. Step 4: Simplify right side
    9.37x = 478.35
  5. Step 5: Solve for x
    x = 478.35/9.37
  6. Step 6: Final answer
    x = 51.03

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.