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Finding the Third Proportional to 16,777.13 and 35,376.75

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Solution

The third proportional to 16,777.13 and 35,376.75 is: 74,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,777.13 : 35,376.75 = 35,376.75 : x
  2. Step 2: Convert to fraction form
    16,777.13/35,376.75 = 35,376.75/x
  3. Step 3: Cross multiply
    16,777.13x = 35,376.75 × 35,376.75
  4. Step 4: Simplify right side
    16,777.13x = 1,251,514,440.56
  5. Step 5: Solve for x
    x = 1,251,514,440.56/16,777.13
  6. Step 6: Final answer
    x = 74,596.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.