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Finding the Third Proportional to 20,918.25 and 29,256.75

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Solution

The third proportional to 20,918.25 and 29,256.75 is: 40,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,918.25 : 29,256.75 = 29,256.75 : x
  2. Step 2: Convert to fraction form
    20,918.25/29,256.75 = 29,256.75/x
  3. Step 3: Cross multiply
    20,918.25x = 29,256.75 × 29,256.75
  4. Step 4: Simplify right side
    20,918.25x = 855,957,420.56
  5. Step 5: Solve for x
    x = 855,957,420.56/20,918.25
  6. Step 6: Final answer
    x = 40,919.17

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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.