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Finding the Third Proportional to 18,749.25 and 26,369.25

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Solution

The third proportional to 18,749.25 and 26,369.25 is: 37,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,749.25 : 26,369.25 = 26,369.25 : x
  2. Step 2: Convert to fraction form
    18,749.25/26,369.25 = 26,369.25/x
  3. Step 3: Cross multiply
    18,749.25x = 26,369.25 × 26,369.25
  4. Step 4: Simplify right side
    18,749.25x = 695,337,345.56
  5. Step 5: Solve for x
    x = 695,337,345.56/18,749.25
  6. Step 6: Final answer
    x = 37,086.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.