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Finding the Third Proportional to 40,644 and 94,446

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Solution

The third proportional to 40,644 and 94,446 is: 219,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,644 : 94,446 = 94,446 : x
  2. Step 2: Convert to fraction form
    40,644/94,446 = 94,446/x
  3. Step 3: Cross multiply
    40,644x = 94,446 × 94,446
  4. Step 4: Simplify right side
    40,644x = 8,920,046,916
  5. Step 5: Solve for x
    x = 8,920,046,916/40,644
  6. Step 6: Final answer
    x = 219,467.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.