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Finding the Third Proportional to 41,006.63 and 66,959.63

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Solution

The third proportional to 41,006.63 and 66,959.63 is: 109,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,006.63 : 66,959.63 = 66,959.63 : x
  2. Step 2: Convert to fraction form
    41,006.63/66,959.63 = 66,959.63/x
  3. Step 3: Cross multiply
    41,006.63x = 66,959.63 × 66,959.63
  4. Step 4: Simplify right side
    41,006.63x = 4,483,591,380.14
  5. Step 5: Solve for x
    x = 4,483,591,380.14/41,006.63
  6. Step 6: Final answer
    x = 109,338.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.