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Finding the Third Proportional to 18,956.25 and 26,574.75

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Solution

The third proportional to 18,956.25 and 26,574.75 is: 37,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,956.25 : 26,574.75 = 26,574.75 : x
  2. Step 2: Convert to fraction form
    18,956.25/26,574.75 = 26,574.75/x
  3. Step 3: Cross multiply
    18,956.25x = 26,574.75 × 26,574.75
  4. Step 4: Simplify right side
    18,956.25x = 706,217,337.56
  5. Step 5: Solve for x
    x = 706,217,337.56/18,956.25
  6. Step 6: Final answer
    x = 37,255.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.