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Finding the Third Proportional to 16,011.84 and 34,392.94

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Solution

The third proportional to 16,011.84 and 34,392.94 is: 73,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.84 : 34,392.94 = 34,392.94 : x
  2. Step 2: Convert to fraction form
    16,011.84/34,392.94 = 34,392.94/x
  3. Step 3: Cross multiply
    16,011.84x = 34,392.94 × 34,392.94
  4. Step 4: Simplify right side
    16,011.84x = 1,182,874,149.88
  5. Step 5: Solve for x
    x = 1,182,874,149.88/16,011.84
  6. Step 6: Final answer
    x = 73,874.95

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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.