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Finding the Third Proportional to 10,519.88 and 16,284.38

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Solution

The third proportional to 10,519.88 and 16,284.38 is: 25,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.88 : 16,284.38 = 16,284.38 : x
  2. Step 2: Convert to fraction form
    10,519.88/16,284.38 = 16,284.38/x
  3. Step 3: Cross multiply
    10,519.88x = 16,284.38 × 16,284.38
  4. Step 4: Simplify right side
    10,519.88x = 265,180,869.14
  5. Step 5: Solve for x
    x = 265,180,869.14/10,519.88
  6. Step 6: Final answer
    x = 25,207.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.