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Finding the Third Proportional to 20,102.50 and 43,931

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Solution

The third proportional to 20,102.50 and 43,931 is: 96,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.50 : 43,931 = 43,931 : x
  2. Step 2: Convert to fraction form
    20,102.50/43,931 = 43,931/x
  3. Step 3: Cross multiply
    20,102.50x = 43,931 × 43,931
  4. Step 4: Simplify right side
    20,102.50x = 1,929,932,761
  5. Step 5: Solve for x
    x = 1,929,932,761/20,102.50
  6. Step 6: Final answer
    x = 96,004.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.