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Finding the Third Proportional to 37.02 and 57.48

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Solution

The third proportional to 37.02 and 57.48 is: 89.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.02 : 57.48 = 57.48 : x
  2. Step 2: Convert to fraction form
    37.02/57.48 = 57.48/x
  3. Step 3: Cross multiply
    37.02x = 57.48 × 57.48
  4. Step 4: Simplify right side
    37.02x = 3,304.00
  5. Step 5: Solve for x
    x = 3,304.00/37.02
  6. Step 6: Final answer
    x = 89.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.