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Finding the Third Proportional to 12,327 and 18,946

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Solution

The third proportional to 12,327 and 18,946 is: 29,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327 : 18,946 = 18,946 : x
  2. Step 2: Convert to fraction form
    12,327/18,946 = 18,946/x
  3. Step 3: Cross multiply
    12,327x = 18,946 × 18,946
  4. Step 4: Simplify right side
    12,327x = 358,950,916
  5. Step 5: Solve for x
    x = 358,950,916/12,327
  6. Step 6: Final answer
    x = 29,119.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.