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Finding the Third Proportional to 18,166.50 and 42,455.25

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Solution

The third proportional to 18,166.50 and 42,455.25 is: 99,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,166.50 : 42,455.25 = 42,455.25 : x
  2. Step 2: Convert to fraction form
    18,166.50/42,455.25 = 42,455.25/x
  3. Step 3: Cross multiply
    18,166.50x = 42,455.25 × 42,455.25
  4. Step 4: Simplify right side
    18,166.50x = 1,802,448,252.56
  5. Step 5: Solve for x
    x = 1,802,448,252.56/18,166.50
  6. Step 6: Final answer
    x = 99,218.25

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.