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Finding the Third Proportional to 17,860 and 39,223

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Solution

The third proportional to 17,860 and 39,223 is: 86,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860 : 39,223 = 39,223 : x
  2. Step 2: Convert to fraction form
    17,860/39,223 = 39,223/x
  3. Step 3: Cross multiply
    17,860x = 39,223 × 39,223
  4. Step 4: Simplify right side
    17,860x = 1,538,443,729
  5. Step 5: Solve for x
    x = 1,538,443,729/17,860
  6. Step 6: Final answer
    x = 86,139.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.