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Finding the Third Proportional to 16,709.63 and 34,797.09

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Solution

The third proportional to 16,709.63 and 34,797.09 is: 72,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.63 : 34,797.09 = 34,797.09 : x
  2. Step 2: Convert to fraction form
    16,709.63/34,797.09 = 34,797.09/x
  3. Step 3: Cross multiply
    16,709.63x = 34,797.09 × 34,797.09
  4. Step 4: Simplify right side
    16,709.63x = 1,210,837,733.45
  5. Step 5: Solve for x
    x = 1,210,837,733.45/16,709.63
  6. Step 6: Final answer
    x = 72,463.49

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.