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Finding the Third Proportional to 3,123 and 4,944

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Solution

The third proportional to 3,123 and 4,944 is: 7,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123 : 4,944 = 4,944 : x
  2. Step 2: Convert to fraction form
    3,123/4,944 = 4,944/x
  3. Step 3: Cross multiply
    3,123x = 4,944 × 4,944
  4. Step 4: Simplify right side
    3,123x = 24,443,136
  5. Step 5: Solve for x
    x = 24,443,136/3,123
  6. Step 6: Final answer
    x = 7,826.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.