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Finding the Third Proportional to 41,027 and 89,646

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Solution

The third proportional to 41,027 and 89,646 is: 195,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,027 : 89,646 = 89,646 : x
  2. Step 2: Convert to fraction form
    41,027/89,646 = 89,646/x
  3. Step 3: Cross multiply
    41,027x = 89,646 × 89,646
  4. Step 4: Simplify right side
    41,027x = 8,036,405,316
  5. Step 5: Solve for x
    x = 8,036,405,316/41,027
  6. Step 6: Final answer
    x = 195,880.89

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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.