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Finding the Third Proportional to 30,871 and 46,103

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Solution

The third proportional to 30,871 and 46,103 is: 68,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871 : 46,103 = 46,103 : x
  2. Step 2: Convert to fraction form
    30,871/46,103 = 46,103/x
  3. Step 3: Cross multiply
    30,871x = 46,103 × 46,103
  4. Step 4: Simplify right side
    30,871x = 2,125,486,609
  5. Step 5: Solve for x
    x = 2,125,486,609/30,871
  6. Step 6: Final answer
    x = 68,850.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.