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Finding the Third Proportional to 7,695.28 and 16,850.19

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Solution

The third proportional to 7,695.28 and 16,850.19 is: 36,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.28 : 16,850.19 = 16,850.19 : x
  2. Step 2: Convert to fraction form
    7,695.28/16,850.19 = 16,850.19/x
  3. Step 3: Cross multiply
    7,695.28x = 16,850.19 × 16,850.19
  4. Step 4: Simplify right side
    7,695.28x = 283,928,818.79
  5. Step 5: Solve for x
    x = 283,928,818.79/7,695.28
  6. Step 6: Final answer
    x = 36,896.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.