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Finding the Third Proportional to 7,757.02 and 16,826.80

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Solution

The third proportional to 7,757.02 and 16,826.80 is: 36,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.02 : 16,826.80 = 16,826.80 : x
  2. Step 2: Convert to fraction form
    7,757.02/16,826.80 = 16,826.80/x
  3. Step 3: Cross multiply
    7,757.02x = 16,826.80 × 16,826.80
  4. Step 4: Simplify right side
    7,757.02x = 283,141,224.53
  5. Step 5: Solve for x
    x = 283,141,224.53/7,757.02
  6. Step 6: Final answer
    x = 36,501.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.