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Finding the Third Proportional to 16,012.69 and 25,294.78

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Solution

The third proportional to 16,012.69 and 25,294.78 is: 39,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.69 : 25,294.78 = 25,294.78 : x
  2. Step 2: Convert to fraction form
    16,012.69/25,294.78 = 25,294.78/x
  3. Step 3: Cross multiply
    16,012.69x = 25,294.78 × 25,294.78
  4. Step 4: Simplify right side
    16,012.69x = 639,825,958.49
  5. Step 5: Solve for x
    x = 639,825,958.49/16,012.69
  6. Step 6: Final answer
    x = 39,957.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.