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Finding the Third Proportional to 40,640 and 94,436

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Solution

The third proportional to 40,640 and 94,436 is: 219,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,640 : 94,436 = 94,436 : x
  2. Step 2: Convert to fraction form
    40,640/94,436 = 94,436/x
  3. Step 3: Cross multiply
    40,640x = 94,436 × 94,436
  4. Step 4: Simplify right side
    40,640x = 8,918,158,096
  5. Step 5: Solve for x
    x = 8,918,158,096/40,640
  6. Step 6: Final answer
    x = 219,442.87

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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.