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Finding the Third Proportional to 17,914.61 and 26,867.64

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Solution

The third proportional to 17,914.61 and 26,867.64 is: 40,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914.61 : 26,867.64 = 26,867.64 : x
  2. Step 2: Convert to fraction form
    17,914.61/26,867.64 = 26,867.64/x
  3. Step 3: Cross multiply
    17,914.61x = 26,867.64 × 26,867.64
  4. Step 4: Simplify right side
    17,914.61x = 721,869,902.85
  5. Step 5: Solve for x
    x = 721,869,902.85/17,914.61
  6. Step 6: Final answer
    x = 40,295.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.