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Finding the Third Proportional to 12,027 and 24,342

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Solution

The third proportional to 12,027 and 24,342 is: 49,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027 : 24,342 = 24,342 : x
  2. Step 2: Convert to fraction form
    12,027/24,342 = 24,342/x
  3. Step 3: Cross multiply
    12,027x = 24,342 × 24,342
  4. Step 4: Simplify right side
    12,027x = 592,532,964
  5. Step 5: Solve for x
    x = 592,532,964/12,027
  6. Step 6: Final answer
    x = 49,266.90

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.