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Finding the Third Proportional to 14,082 and 30,576

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Solution

The third proportional to 14,082 and 30,576 is: 66,389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082 : 30,576 = 30,576 : x
  2. Step 2: Convert to fraction form
    14,082/30,576 = 30,576/x
  3. Step 3: Cross multiply
    14,082x = 30,576 × 30,576
  4. Step 4: Simplify right side
    14,082x = 934,891,776
  5. Step 5: Solve for x
    x = 934,891,776/14,082
  6. Step 6: Final answer
    x = 66,389.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.