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Finding the Third Proportional to 17,901 and 26,854.88

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Solution

The third proportional to 17,901 and 26,854.88 is: 40,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,901 : 26,854.88 = 26,854.88 : x
  2. Step 2: Convert to fraction form
    17,901/26,854.88 = 26,854.88/x
  3. Step 3: Cross multiply
    17,901x = 26,854.88 × 26,854.88
  4. Step 4: Simplify right side
    17,901x = 721,184,311.27
  5. Step 5: Solve for x
    x = 721,184,311.27/17,901
  6. Step 6: Final answer
    x = 40,287.38

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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.