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Finding the Third Proportional to 16,385.91 and 35,898.05

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Solution

The third proportional to 16,385.91 and 35,898.05 is: 78,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.91 : 35,898.05 = 35,898.05 : x
  2. Step 2: Convert to fraction form
    16,385.91/35,898.05 = 35,898.05/x
  3. Step 3: Cross multiply
    16,385.91x = 35,898.05 × 35,898.05
  4. Step 4: Simplify right side
    16,385.91x = 1,288,669,769.44
  5. Step 5: Solve for x
    x = 1,288,669,769.44/16,385.91
  6. Step 6: Final answer
    x = 78,645.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.