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Finding the Third Proportional to 6,942.59 and 14,809.08

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Solution

The third proportional to 6,942.59 and 14,809.08 is: 31,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.59 : 14,809.08 = 14,809.08 : x
  2. Step 2: Convert to fraction form
    6,942.59/14,809.08 = 14,809.08/x
  3. Step 3: Cross multiply
    6,942.59x = 14,809.08 × 14,809.08
  4. Step 4: Simplify right side
    6,942.59x = 219,308,794.91
  5. Step 5: Solve for x
    x = 219,308,794.91/6,942.59
  6. Step 6: Final answer
    x = 31,588.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.