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Finding the Third Proportional to 37.60 and 52.07

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Solution

The third proportional to 37.60 and 52.07 is: 72.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.60 : 52.07 = 52.07 : x
  2. Step 2: Convert to fraction form
    37.60/52.07 = 52.07/x
  3. Step 3: Cross multiply
    37.60x = 52.07 × 52.07
  4. Step 4: Simplify right side
    37.60x = 2,710.84
  5. Step 5: Solve for x
    x = 2,710.84/37.60
  6. Step 6: Final answer
    x = 72.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.