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Finding the Third Proportional to 12,327 and 25,113

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Solution

The third proportional to 12,327 and 25,113 is: 51,161.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327 : 25,113 = 25,113 : x
  2. Step 2: Convert to fraction form
    12,327/25,113 = 25,113/x
  3. Step 3: Cross multiply
    12,327x = 25,113 × 25,113
  4. Step 4: Simplify right side
    12,327x = 630,662,769
  5. Step 5: Solve for x
    x = 630,662,769/12,327
  6. Step 6: Final answer
    x = 51,161.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.