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Finding the Third Proportional to 40,467 and 61,264

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Solution

The third proportional to 40,467 and 61,264 is: 92,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,467 : 61,264 = 61,264 : x
  2. Step 2: Convert to fraction form
    40,467/61,264 = 61,264/x
  3. Step 3: Cross multiply
    40,467x = 61,264 × 61,264
  4. Step 4: Simplify right side
    40,467x = 3,753,277,696
  5. Step 5: Solve for x
    x = 3,753,277,696/40,467
  6. Step 6: Final answer
    x = 92,749.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.