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Finding the Third Proportional to 16,857.41 and 39,029.62

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Solution

The third proportional to 16,857.41 and 39,029.62 is: 90,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.41 : 39,029.62 = 39,029.62 : x
  2. Step 2: Convert to fraction form
    16,857.41/39,029.62 = 39,029.62/x
  3. Step 3: Cross multiply
    16,857.41x = 39,029.62 × 39,029.62
  4. Step 4: Simplify right side
    16,857.41x = 1,523,311,284.61
  5. Step 5: Solve for x
    x = 1,523,311,284.61/16,857.41
  6. Step 6: Final answer
    x = 90,364.48

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.