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Finding the Third Proportional to 18,522 and 27,785.25

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Solution

The third proportional to 18,522 and 27,785.25 is: 41,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522 : 27,785.25 = 27,785.25 : x
  2. Step 2: Convert to fraction form
    18,522/27,785.25 = 27,785.25/x
  3. Step 3: Cross multiply
    18,522x = 27,785.25 × 27,785.25
  4. Step 4: Simplify right side
    18,522x = 772,020,117.56
  5. Step 5: Solve for x
    x = 772,020,117.56/18,522
  6. Step 6: Final answer
    x = 41,681.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.