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Finding the Third Proportional to 52.21 and 76.00

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Solution

The third proportional to 52.21 and 76.00 is: 110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.21 : 76.00 = 76.00 : x
  2. Step 2: Convert to fraction form
    52.21/76.00 = 76.00/x
  3. Step 3: Cross multiply
    52.21x = 76.00 × 76.00
  4. Step 4: Simplify right side
    52.21x = 5,775.52
  5. Step 5: Solve for x
    x = 5,775.52/52.21
  6. Step 6: Final answer
    x = 110.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.