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Finding the Third Proportional to 40,466 and 51,281

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Solution

The third proportional to 40,466 and 51,281 is: 64,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,466 : 51,281 = 51,281 : x
  2. Step 2: Convert to fraction form
    40,466/51,281 = 51,281/x
  3. Step 3: Cross multiply
    40,466x = 51,281 × 51,281
  4. Step 4: Simplify right side
    40,466x = 2,629,740,961
  5. Step 5: Solve for x
    x = 2,629,740,961/40,466
  6. Step 6: Final answer
    x = 64,986.43

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.