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Finding the Third Proportional to 58.78 and 62.44

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Solution

The third proportional to 58.78 and 62.44 is: 66.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.78 : 62.44 = 62.44 : x
  2. Step 2: Convert to fraction form
    58.78/62.44 = 62.44/x
  3. Step 3: Cross multiply
    58.78x = 62.44 × 62.44
  4. Step 4: Simplify right side
    58.78x = 3,898.44
  5. Step 5: Solve for x
    x = 3,898.44/58.78
  6. Step 6: Final answer
    x = 66.32

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.