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Finding the Third Proportional to 7,694.37 and 16,707.20

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Solution

The third proportional to 7,694.37 and 16,707.20 is: 36,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.37 : 16,707.20 = 16,707.20 : x
  2. Step 2: Convert to fraction form
    7,694.37/16,707.20 = 16,707.20/x
  3. Step 3: Cross multiply
    7,694.37x = 16,707.20 × 16,707.20
  4. Step 4: Simplify right side
    7,694.37x = 279,130,505.74
  5. Step 5: Solve for x
    x = 279,130,505.74/7,694.37
  6. Step 6: Final answer
    x = 36,277.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.