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Finding the Third Proportional to 41,274 and 68,288.63

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Solution

The third proportional to 41,274 and 68,288.63 is: 112,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,274 : 68,288.63 = 68,288.63 : x
  2. Step 2: Convert to fraction form
    41,274/68,288.63 = 68,288.63/x
  3. Step 3: Cross multiply
    41,274x = 68,288.63 × 68,288.63
  4. Step 4: Simplify right side
    41,274x = 4,663,336,304.39
  5. Step 5: Solve for x
    x = 4,663,336,304.39/41,274
  6. Step 6: Final answer
    x = 112,984.84

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.