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Finding the Third Proportional to 16,753.50 and 26,049.09

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Solution

The third proportional to 16,753.50 and 26,049.09 is: 40,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753.50 : 26,049.09 = 26,049.09 : x
  2. Step 2: Convert to fraction form
    16,753.50/26,049.09 = 26,049.09/x
  3. Step 3: Cross multiply
    16,753.50x = 26,049.09 × 26,049.09
  4. Step 4: Simplify right side
    16,753.50x = 678,555,285.20
  5. Step 5: Solve for x
    x = 678,555,285.20/16,753.50
  6. Step 6: Final answer
    x = 40,502.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.