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Finding the Third Proportional to 23,773.13 and 33,233.81

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Solution

The third proportional to 23,773.13 and 33,233.81 is: 46,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.13 : 33,233.81 = 33,233.81 : x
  2. Step 2: Convert to fraction form
    23,773.13/33,233.81 = 33,233.81/x
  3. Step 3: Cross multiply
    23,773.13x = 33,233.81 × 33,233.81
  4. Step 4: Simplify right side
    23,773.13x = 1,104,486,293.29
  5. Step 5: Solve for x
    x = 1,104,486,293.29/23,773.13
  6. Step 6: Final answer
    x = 46,459.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.