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Finding the Third Proportional to 52.68 and 58.38

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Solution

The third proportional to 52.68 and 58.38 is: 64.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.68 : 58.38 = 58.38 : x
  2. Step 2: Convert to fraction form
    52.68/58.38 = 58.38/x
  3. Step 3: Cross multiply
    52.68x = 58.38 × 58.38
  4. Step 4: Simplify right side
    52.68x = 3,407.87
  5. Step 5: Solve for x
    x = 3,407.87/52.68
  6. Step 6: Final answer
    x = 64.69

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.