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Finding the Third Proportional to 11,593.13 and 16,579.69

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Solution

The third proportional to 11,593.13 and 16,579.69 is: 23,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.13 : 16,579.69 = 16,579.69 : x
  2. Step 2: Convert to fraction form
    11,593.13/16,579.69 = 16,579.69/x
  3. Step 3: Cross multiply
    11,593.13x = 16,579.69 × 16,579.69
  4. Step 4: Simplify right side
    11,593.13x = 274,886,037.60
  5. Step 5: Solve for x
    x = 274,886,037.60/11,593.13
  6. Step 6: Final answer
    x = 23,711.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.