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Finding the Third Proportional to 20,161.41 and 30,785.06

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Solution

The third proportional to 20,161.41 and 30,785.06 is: 47,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.41 : 30,785.06 = 30,785.06 : x
  2. Step 2: Convert to fraction form
    20,161.41/30,785.06 = 30,785.06/x
  3. Step 3: Cross multiply
    20,161.41x = 30,785.06 × 30,785.06
  4. Step 4: Simplify right side
    20,161.41x = 947,720,073.13
  5. Step 5: Solve for x
    x = 947,720,073.13/20,161.41
  6. Step 6: Final answer
    x = 47,006.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.