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Finding the Third Proportional to 13,992.75 and 38,019.38

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Solution

The third proportional to 13,992.75 and 38,019.38 is: 103,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.75 : 38,019.38 = 38,019.38 : x
  2. Step 2: Convert to fraction form
    13,992.75/38,019.38 = 38,019.38/x
  3. Step 3: Cross multiply
    13,992.75x = 38,019.38 × 38,019.38
  4. Step 4: Simplify right side
    13,992.75x = 1,445,472,875.39
  5. Step 5: Solve for x
    x = 1,445,472,875.39/13,992.75
  6. Step 6: Final answer
    x = 103,301.56

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These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.