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Finding the Third Proportional to 23,662.13 and 39,016.69

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Solution

The third proportional to 23,662.13 and 39,016.69 is: 64,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.13 : 39,016.69 = 39,016.69 : x
  2. Step 2: Convert to fraction form
    23,662.13/39,016.69 = 39,016.69/x
  3. Step 3: Cross multiply
    23,662.13x = 39,016.69 × 39,016.69
  4. Step 4: Simplify right side
    23,662.13x = 1,522,301,903.47
  5. Step 5: Solve for x
    x = 1,522,301,903.47/23,662.13
  6. Step 6: Final answer
    x = 64,334.96

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.