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Finding the Third Proportional to 6,998.06 and 13,640.06

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Solution

The third proportional to 6,998.06 and 13,640.06 is: 26,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.06 : 13,640.06 = 13,640.06 : x
  2. Step 2: Convert to fraction form
    6,998.06/13,640.06 = 13,640.06/x
  3. Step 3: Cross multiply
    6,998.06x = 13,640.06 × 13,640.06
  4. Step 4: Simplify right side
    6,998.06x = 186,051,305.00
  5. Step 5: Solve for x
    x = 186,051,305.00/6,998.06
  6. Step 6: Final answer
    x = 26,586.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.