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Finding the Third Proportional to 8,397 and 13,023

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Solution

The third proportional to 8,397 and 13,023 is: 20,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397 : 13,023 = 13,023 : x
  2. Step 2: Convert to fraction form
    8,397/13,023 = 13,023/x
  3. Step 3: Cross multiply
    8,397x = 13,023 × 13,023
  4. Step 4: Simplify right side
    8,397x = 169,598,529
  5. Step 5: Solve for x
    x = 169,598,529/8,397
  6. Step 6: Final answer
    x = 20,197.51

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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.