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Finding the Third Proportional to 37.02 and 52.68

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Solution

The third proportional to 37.02 and 52.68 is: 74.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.02 : 52.68 = 52.68 : x
  2. Step 2: Convert to fraction form
    37.02/52.68 = 52.68/x
  3. Step 3: Cross multiply
    37.02x = 52.68 × 52.68
  4. Step 4: Simplify right side
    37.02x = 2,775.36
  5. Step 5: Solve for x
    x = 2,775.36/37.02
  6. Step 6: Final answer
    x = 74.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.