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Finding the Third Proportional to 20,414.25 and 26,409.38

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Solution

The third proportional to 20,414.25 and 26,409.38 is: 34,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.25 : 26,409.38 = 26,409.38 : x
  2. Step 2: Convert to fraction form
    20,414.25/26,409.38 = 26,409.38/x
  3. Step 3: Cross multiply
    20,414.25x = 26,409.38 × 26,409.38
  4. Step 4: Simplify right side
    20,414.25x = 697,455,087.89
  5. Step 5: Solve for x
    x = 697,455,087.89/20,414.25
  6. Step 6: Final answer
    x = 34,165.11

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.