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Finding the Third Proportional to 12,014 and 25,762

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Solution

The third proportional to 12,014 and 25,762 is: 55,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014 : 25,762 = 25,762 : x
  2. Step 2: Convert to fraction form
    12,014/25,762 = 25,762/x
  3. Step 3: Cross multiply
    12,014x = 25,762 × 25,762
  4. Step 4: Simplify right side
    12,014x = 663,680,644
  5. Step 5: Solve for x
    x = 663,680,644/12,014
  6. Step 6: Final answer
    x = 55,242.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.