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Finding the Third Proportional to 6,082 and 14,389

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Solution

The third proportional to 6,082 and 14,389 is: 34,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082 : 14,389 = 14,389 : x
  2. Step 2: Convert to fraction form
    6,082/14,389 = 14,389/x
  3. Step 3: Cross multiply
    6,082x = 14,389 × 14,389
  4. Step 4: Simplify right side
    6,082x = 207,043,321
  5. Step 5: Solve for x
    x = 207,043,321/6,082
  6. Step 6: Final answer
    x = 34,041.98

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.