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Finding the Third Proportional to 5,123 and 5,843

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Solution

The third proportional to 5,123 and 5,843 is: 6,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123 : 5,843 = 5,843 : x
  2. Step 2: Convert to fraction form
    5,123/5,843 = 5,843/x
  3. Step 3: Cross multiply
    5,123x = 5,843 × 5,843
  4. Step 4: Simplify right side
    5,123x = 34,140,649
  5. Step 5: Solve for x
    x = 34,140,649/5,123
  6. Step 6: Final answer
    x = 6,664.19

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.