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Finding the Third Proportional to 41,935 and 91,646

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Solution

The third proportional to 41,935 and 91,646 is: 200,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,935 : 91,646 = 91,646 : x
  2. Step 2: Convert to fraction form
    41,935/91,646 = 91,646/x
  3. Step 3: Cross multiply
    41,935x = 91,646 × 91,646
  4. Step 4: Simplify right side
    41,935x = 8,398,989,316
  5. Step 5: Solve for x
    x = 8,398,989,316/41,935
  6. Step 6: Final answer
    x = 200,285.90

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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.