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Finding the Third Proportional to 5,123 and 7,731

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Solution

The third proportional to 5,123 and 7,731 is: 11,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123 : 7,731 = 7,731 : x
  2. Step 2: Convert to fraction form
    5,123/7,731 = 7,731/x
  3. Step 3: Cross multiply
    5,123x = 7,731 × 7,731
  4. Step 4: Simplify right side
    5,123x = 59,768,361
  5. Step 5: Solve for x
    x = 59,768,361/5,123
  6. Step 6: Final answer
    x = 11,666.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.