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Finding the Third Proportional to 10,252.69 and 16,062.19

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Solution

The third proportional to 10,252.69 and 16,062.19 is: 25,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.69 : 16,062.19 = 16,062.19 : x
  2. Step 2: Convert to fraction form
    10,252.69/16,062.19 = 16,062.19/x
  3. Step 3: Cross multiply
    10,252.69x = 16,062.19 × 16,062.19
  4. Step 4: Simplify right side
    10,252.69x = 257,993,867.29
  5. Step 5: Solve for x
    x = 257,993,867.29/10,252.69
  6. Step 6: Final answer
    x = 25,163.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.