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Finding the Third Proportional to 6,579.98 and 11,700.07

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Solution

The third proportional to 6,579.98 and 11,700.07 is: 20,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.98 : 11,700.07 = 11,700.07 : x
  2. Step 2: Convert to fraction form
    6,579.98/11,700.07 = 11,700.07/x
  3. Step 3: Cross multiply
    6,579.98x = 11,700.07 × 11,700.07
  4. Step 4: Simplify right side
    6,579.98x = 136,891,645.32
  5. Step 5: Solve for x
    x = 136,891,645.32/6,579.98
  6. Step 6: Final answer
    x = 20,804.25

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.