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Finding the Third Proportional to 10,579 and 16,208

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Solution

The third proportional to 10,579 and 16,208 is: 24,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579 : 16,208 = 16,208 : x
  2. Step 2: Convert to fraction form
    10,579/16,208 = 16,208/x
  3. Step 3: Cross multiply
    10,579x = 16,208 × 16,208
  4. Step 4: Simplify right side
    10,579x = 262,699,264
  5. Step 5: Solve for x
    x = 262,699,264/10,579
  6. Step 6: Final answer
    x = 24,832.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.