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Finding the Third Proportional to 58.22 and 78.47

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Solution

The third proportional to 58.22 and 78.47 is: 105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.22 : 78.47 = 78.47 : x
  2. Step 2: Convert to fraction form
    58.22/78.47 = 78.47/x
  3. Step 3: Cross multiply
    58.22x = 78.47 × 78.47
  4. Step 4: Simplify right side
    58.22x = 6,157.34
  5. Step 5: Solve for x
    x = 6,157.34/58.22
  6. Step 6: Final answer
    x = 105.76

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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.