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Finding the Third Proportional to 16,214.55 and 34,940.74

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Solution

The third proportional to 16,214.55 and 34,940.74 is: 75,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.55 : 34,940.74 = 34,940.74 : x
  2. Step 2: Convert to fraction form
    16,214.55/34,940.74 = 34,940.74/x
  3. Step 3: Cross multiply
    16,214.55x = 34,940.74 × 34,940.74
  4. Step 4: Simplify right side
    16,214.55x = 1,220,855,464.61
  5. Step 5: Solve for x
    x = 1,220,855,464.61/16,214.55
  6. Step 6: Final answer
    x = 75,293.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.