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Finding the Third Proportional to 12,082 and 25,252

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Solution

The third proportional to 12,082 and 25,252 is: 52,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082 : 25,252 = 25,252 : x
  2. Step 2: Convert to fraction form
    12,082/25,252 = 25,252/x
  3. Step 3: Cross multiply
    12,082x = 25,252 × 25,252
  4. Step 4: Simplify right side
    12,082x = 637,663,504
  5. Step 5: Solve for x
    x = 637,663,504/12,082
  6. Step 6: Final answer
    x = 52,777.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.