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Finding the Third Proportional to 13,397 and 18,871

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Solution

The third proportional to 13,397 and 18,871 is: 26,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397 : 18,871 = 18,871 : x
  2. Step 2: Convert to fraction form
    13,397/18,871 = 18,871/x
  3. Step 3: Cross multiply
    13,397x = 18,871 × 18,871
  4. Step 4: Simplify right side
    13,397x = 356,114,641
  5. Step 5: Solve for x
    x = 356,114,641/13,397
  6. Step 6: Final answer
    x = 26,581.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.