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Finding the Third Proportional to 16,012.69 and 23,998.78

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Solution

The third proportional to 16,012.69 and 23,998.78 is: 35,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.69 : 23,998.78 = 23,998.78 : x
  2. Step 2: Convert to fraction form
    16,012.69/23,998.78 = 23,998.78/x
  3. Step 3: Cross multiply
    16,012.69x = 23,998.78 × 23,998.78
  4. Step 4: Simplify right side
    16,012.69x = 575,941,501.49
  5. Step 5: Solve for x
    x = 575,941,501.49/16,012.69
  6. Step 6: Final answer
    x = 35,967.82

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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.