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Finding the Third Proportional to 21.56 and 37.31

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Solution

The third proportional to 21.56 and 37.31 is: 64.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.56 : 37.31 = 37.31 : x
  2. Step 2: Convert to fraction form
    21.56/37.31 = 37.31/x
  3. Step 3: Cross multiply
    21.56x = 37.31 × 37.31
  4. Step 4: Simplify right side
    21.56x = 1,392.22
  5. Step 5: Solve for x
    x = 1,392.22/21.56
  6. Step 6: Final answer
    x = 64.57

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.