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Finding the Third Proportional to 41,621.34 and 67,622.34

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Solution

The third proportional to 41,621.34 and 67,622.34 is: 109,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,621.34 : 67,622.34 = 67,622.34 : x
  2. Step 2: Convert to fraction form
    41,621.34/67,622.34 = 67,622.34/x
  3. Step 3: Cross multiply
    41,621.34x = 67,622.34 × 67,622.34
  4. Step 4: Simplify right side
    41,621.34x = 4,572,781,374.24
  5. Step 5: Solve for x
    x = 4,572,781,374.24/41,621.34
  6. Step 6: Final answer
    x = 109,866.26

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.