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Finding the Third Proportional to 5,062 and 7,738

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Solution

The third proportional to 5,062 and 7,738 is: 11,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062 : 7,738 = 7,738 : x
  2. Step 2: Convert to fraction form
    5,062/7,738 = 7,738/x
  3. Step 3: Cross multiply
    5,062x = 7,738 × 7,738
  4. Step 4: Simplify right side
    5,062x = 59,876,644
  5. Step 5: Solve for x
    x = 59,876,644/5,062
  6. Step 6: Final answer
    x = 11,828.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.