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Finding the Third Proportional to 7,707.66 and 16,643.81

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Solution

The third proportional to 7,707.66 and 16,643.81 is: 35,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.66 : 16,643.81 = 16,643.81 : x
  2. Step 2: Convert to fraction form
    7,707.66/16,643.81 = 16,643.81/x
  3. Step 3: Cross multiply
    7,707.66x = 16,643.81 × 16,643.81
  4. Step 4: Simplify right side
    7,707.66x = 277,016,494.54
  5. Step 5: Solve for x
    x = 277,016,494.54/7,707.66
  6. Step 6: Final answer
    x = 35,940.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.