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Finding the Third Proportional to 51.38 and 58.50

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Solution

The third proportional to 51.38 and 58.50 is: 66.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 58.50 = 58.50 : x
  2. Step 2: Convert to fraction form
    51.38/58.50 = 58.50/x
  3. Step 3: Cross multiply
    51.38x = 58.50 × 58.50
  4. Step 4: Simplify right side
    51.38x = 3,422.25
  5. Step 5: Solve for x
    x = 3,422.25/51.38
  6. Step 6: Final answer
    x = 66.61

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.