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Finding the Third Proportional to 5,978 and 7,058

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Solution

The third proportional to 5,978 and 7,058 is: 8,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978 : 7,058 = 7,058 : x
  2. Step 2: Convert to fraction form
    5,978/7,058 = 7,058/x
  3. Step 3: Cross multiply
    5,978x = 7,058 × 7,058
  4. Step 4: Simplify right side
    5,978x = 49,815,364
  5. Step 5: Solve for x
    x = 49,815,364/5,978
  6. Step 6: Final answer
    x = 8,333.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.