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Finding the Third Proportional to 13,374 and 18,141

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Solution

The third proportional to 13,374 and 18,141 is: 24,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374 : 18,141 = 18,141 : x
  2. Step 2: Convert to fraction form
    13,374/18,141 = 18,141/x
  3. Step 3: Cross multiply
    13,374x = 18,141 × 18,141
  4. Step 4: Simplify right side
    13,374x = 329,095,881
  5. Step 5: Solve for x
    x = 329,095,881/13,374
  6. Step 6: Final answer
    x = 24,607.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.