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Finding the Third Proportional to 5,970 and 9,182

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Solution

The third proportional to 5,970 and 9,182 is: 14,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 9,182 = 9,182 : x
  2. Step 2: Convert to fraction form
    5,970/9,182 = 9,182/x
  3. Step 3: Cross multiply
    5,970x = 9,182 × 9,182
  4. Step 4: Simplify right side
    5,970x = 84,309,124
  5. Step 5: Solve for x
    x = 84,309,124/5,970
  6. Step 6: Final answer
    x = 14,122.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.