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Finding the Third Proportional to 40,511 and 61,307

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Solution

The third proportional to 40,511 and 61,307 is: 92,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,511 : 61,307 = 61,307 : x
  2. Step 2: Convert to fraction form
    40,511/61,307 = 61,307/x
  3. Step 3: Cross multiply
    40,511x = 61,307 × 61,307
  4. Step 4: Simplify right side
    40,511x = 3,758,548,249
  5. Step 5: Solve for x
    x = 3,758,548,249/40,511
  6. Step 6: Final answer
    x = 92,778.46

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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.