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Finding the Third Proportional to 12,002 and 25,362

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Solution

The third proportional to 12,002 and 25,362 is: 53,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002 : 25,362 = 25,362 : x
  2. Step 2: Convert to fraction form
    12,002/25,362 = 25,362/x
  3. Step 3: Cross multiply
    12,002x = 25,362 × 25,362
  4. Step 4: Simplify right side
    12,002x = 643,231,044
  5. Step 5: Solve for x
    x = 643,231,044/12,002
  6. Step 6: Final answer
    x = 53,593.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.