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Finding the Third Proportional to 8,579 and 13,745

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Solution

The third proportional to 8,579 and 13,745 is: 22,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,579 : 13,745 = 13,745 : x
  2. Step 2: Convert to fraction form
    8,579/13,745 = 13,745/x
  3. Step 3: Cross multiply
    8,579x = 13,745 × 13,745
  4. Step 4: Simplify right side
    8,579x = 188,925,025
  5. Step 5: Solve for x
    x = 188,925,025/8,579
  6. Step 6: Final answer
    x = 22,021.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.