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Finding the Third Proportional to 18,159.50 and 27,767.25

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Solution

The third proportional to 18,159.50 and 27,767.25 is: 42,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,159.50 : 27,767.25 = 27,767.25 : x
  2. Step 2: Convert to fraction form
    18,159.50/27,767.25 = 27,767.25/x
  3. Step 3: Cross multiply
    18,159.50x = 27,767.25 × 27,767.25
  4. Step 4: Simplify right side
    18,159.50x = 771,020,172.56
  5. Step 5: Solve for x
    x = 771,020,172.56/18,159.50
  6. Step 6: Final answer
    x = 42,458.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.