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Finding the Third Proportional to 40,424 and 94,426

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Solution

The third proportional to 40,424 and 94,426 is: 220,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,424 : 94,426 = 94,426 : x
  2. Step 2: Convert to fraction form
    40,424/94,426 = 94,426/x
  3. Step 3: Cross multiply
    40,424x = 94,426 × 94,426
  4. Step 4: Simplify right side
    40,424x = 8,916,269,476
  5. Step 5: Solve for x
    x = 8,916,269,476/40,424
  6. Step 6: Final answer
    x = 220,568.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.