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Finding the Third Proportional to 12,582.84 and 18,579.38

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Solution

The third proportional to 12,582.84 and 18,579.38 is: 27,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.84 : 18,579.38 = 18,579.38 : x
  2. Step 2: Convert to fraction form
    12,582.84/18,579.38 = 18,579.38/x
  3. Step 3: Cross multiply
    12,582.84x = 18,579.38 × 18,579.38
  4. Step 4: Simplify right side
    12,582.84x = 345,193,175.39
  5. Step 5: Solve for x
    x = 345,193,175.39/12,582.84
  6. Step 6: Final answer
    x = 27,433.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.