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Finding the Third Proportional to 14,427 and 22,392

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Solution

The third proportional to 14,427 and 22,392 is: 34,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427 : 22,392 = 22,392 : x
  2. Step 2: Convert to fraction form
    14,427/22,392 = 22,392/x
  3. Step 3: Cross multiply
    14,427x = 22,392 × 22,392
  4. Step 4: Simplify right side
    14,427x = 501,401,664
  5. Step 5: Solve for x
    x = 501,401,664/14,427
  6. Step 6: Final answer
    x = 34,754.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.