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Finding the Third Proportional to 22,465.69 and 35,241.33

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Solution

The third proportional to 22,465.69 and 35,241.33 is: 55,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.69 : 35,241.33 = 35,241.33 : x
  2. Step 2: Convert to fraction form
    22,465.69/35,241.33 = 35,241.33/x
  3. Step 3: Cross multiply
    22,465.69x = 35,241.33 × 35,241.33
  4. Step 4: Simplify right side
    22,465.69x = 1,241,951,208.01
  5. Step 5: Solve for x
    x = 1,241,951,208.01/22,465.69
  6. Step 6: Final answer
    x = 55,282.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.