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Finding the Third Proportional to 37.02 and 56.08

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Solution

The third proportional to 37.02 and 56.08 is: 84.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.02 : 56.08 = 56.08 : x
  2. Step 2: Convert to fraction form
    37.02/56.08 = 56.08/x
  3. Step 3: Cross multiply
    37.02x = 56.08 × 56.08
  4. Step 4: Simplify right side
    37.02x = 3,145.30
  5. Step 5: Solve for x
    x = 3,145.30/37.02
  6. Step 6: Final answer
    x = 84.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.