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Finding the Third Proportional to 6,890.06 and 14,187.66

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Solution

The third proportional to 6,890.06 and 14,187.66 is: 29,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.06 : 14,187.66 = 14,187.66 : x
  2. Step 2: Convert to fraction form
    6,890.06/14,187.66 = 14,187.66/x
  3. Step 3: Cross multiply
    6,890.06x = 14,187.66 × 14,187.66
  4. Step 4: Simplify right side
    6,890.06x = 201,289,589.87
  5. Step 5: Solve for x
    x = 201,289,589.87/6,890.06
  6. Step 6: Final answer
    x = 29,214.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.