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Finding the Third Proportional to 7,709.77 and 16,025.55

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Solution

The third proportional to 7,709.77 and 16,025.55 is: 33,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.77 : 16,025.55 = 16,025.55 : x
  2. Step 2: Convert to fraction form
    7,709.77/16,025.55 = 16,025.55/x
  3. Step 3: Cross multiply
    7,709.77x = 16,025.55 × 16,025.55
  4. Step 4: Simplify right side
    7,709.77x = 256,818,403.04
  5. Step 5: Solve for x
    x = 256,818,403.04/7,709.77
  6. Step 6: Final answer
    x = 33,310.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.