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Finding the Third Proportional to 6,659.09 and 14,356.30

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Solution

The third proportional to 6,659.09 and 14,356.30 is: 30,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.09 : 14,356.30 = 14,356.30 : x
  2. Step 2: Convert to fraction form
    6,659.09/14,356.30 = 14,356.30/x
  3. Step 3: Cross multiply
    6,659.09x = 14,356.30 × 14,356.30
  4. Step 4: Simplify right side
    6,659.09x = 206,103,372.12
  5. Step 5: Solve for x
    x = 206,103,372.12/6,659.09
  6. Step 6: Final answer
    x = 30,950.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.