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Finding the Third Proportional to 12,082 and 17,313

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Solution

The third proportional to 12,082 and 17,313 is: 24,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082 : 17,313 = 17,313 : x
  2. Step 2: Convert to fraction form
    12,082/17,313 = 17,313/x
  3. Step 3: Cross multiply
    12,082x = 17,313 × 17,313
  4. Step 4: Simplify right side
    12,082x = 299,739,969
  5. Step 5: Solve for x
    x = 299,739,969/12,082
  6. Step 6: Final answer
    x = 24,808.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.