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Finding the Third Proportional to 39,971 and 61,511

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Solution

The third proportional to 39,971 and 61,511 is: 94,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971 : 61,511 = 61,511 : x
  2. Step 2: Convert to fraction form
    39,971/61,511 = 61,511/x
  3. Step 3: Cross multiply
    39,971x = 61,511 × 61,511
  4. Step 4: Simplify right side
    39,971x = 3,783,603,121
  5. Step 5: Solve for x
    x = 3,783,603,121/39,971
  6. Step 6: Final answer
    x = 94,658.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.