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Finding the Third Proportional to 58.54 and 79.10

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Solution

The third proportional to 58.54 and 79.10 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.54 : 79.10 = 79.10 : x
  2. Step 2: Convert to fraction form
    58.54/79.10 = 79.10/x
  3. Step 3: Cross multiply
    58.54x = 79.10 × 79.10
  4. Step 4: Simplify right side
    58.54x = 6,257.06
  5. Step 5: Solve for x
    x = 6,257.06/58.54
  6. Step 6: Final answer
    x = 106.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.