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Finding the Third Proportional to 5,084 and 7,773

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Solution

The third proportional to 5,084 and 7,773 is: 11,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084 : 7,773 = 7,773 : x
  2. Step 2: Convert to fraction form
    5,084/7,773 = 7,773/x
  3. Step 3: Cross multiply
    5,084x = 7,773 × 7,773
  4. Step 4: Simplify right side
    5,084x = 60,419,529
  5. Step 5: Solve for x
    x = 60,419,529/5,084
  6. Step 6: Final answer
    x = 11,884.25

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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.