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Finding the Third Proportional to 23,977.69 and 35,967.38

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Solution

The third proportional to 23,977.69 and 35,967.38 is: 53,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,977.69 : 35,967.38 = 35,967.38 : x
  2. Step 2: Convert to fraction form
    23,977.69/35,967.38 = 35,967.38/x
  3. Step 3: Cross multiply
    23,977.69x = 35,967.38 × 35,967.38
  4. Step 4: Simplify right side
    23,977.69x = 1,293,652,064.39
  5. Step 5: Solve for x
    x = 1,293,652,064.39/23,977.69
  6. Step 6: Final answer
    x = 53,952.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.