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Finding the Third Proportional to 5,969 and 8,481

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Solution

The third proportional to 5,969 and 8,481 is: 12,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969 : 8,481 = 8,481 : x
  2. Step 2: Convert to fraction form
    5,969/8,481 = 8,481/x
  3. Step 3: Cross multiply
    5,969x = 8,481 × 8,481
  4. Step 4: Simplify right side
    5,969x = 71,927,361
  5. Step 5: Solve for x
    x = 71,927,361/5,969
  6. Step 6: Final answer
    x = 12,050.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.