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Finding the Third Proportional to 37.31 and 53.34

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Solution

The third proportional to 37.31 and 53.34 is: 76.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.31 : 53.34 = 53.34 : x
  2. Step 2: Convert to fraction form
    37.31/53.34 = 53.34/x
  3. Step 3: Cross multiply
    37.31x = 53.34 × 53.34
  4. Step 4: Simplify right side
    37.31x = 2,845.56
  5. Step 5: Solve for x
    x = 2,845.56/37.31
  6. Step 6: Final answer
    x = 76.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.