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Finding the Third Proportional to 20,458.50 and 26,901

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Solution

The third proportional to 20,458.50 and 26,901 is: 35,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.50 : 26,901 = 26,901 : x
  2. Step 2: Convert to fraction form
    20,458.50/26,901 = 26,901/x
  3. Step 3: Cross multiply
    20,458.50x = 26,901 × 26,901
  4. Step 4: Simplify right side
    20,458.50x = 723,663,801
  5. Step 5: Solve for x
    x = 723,663,801/20,458.50
  6. Step 6: Final answer
    x = 35,372.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.