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Finding the Third Proportional to 17,966 and 30,366.50

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Solution

The third proportional to 17,966 and 30,366.50 is: 51,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966 : 30,366.50 = 30,366.50 : x
  2. Step 2: Convert to fraction form
    17,966/30,366.50 = 30,366.50/x
  3. Step 3: Cross multiply
    17,966x = 30,366.50 × 30,366.50
  4. Step 4: Simplify right side
    17,966x = 922,124,322.25
  5. Step 5: Solve for x
    x = 922,124,322.25/17,966
  6. Step 6: Final answer
    x = 51,326.08

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.