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Finding the Third Proportional to 44,871 and 67,415

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Solution

The third proportional to 44,871 and 67,415 is: 101,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,871 : 67,415 = 67,415 : x
  2. Step 2: Convert to fraction form
    44,871/67,415 = 67,415/x
  3. Step 3: Cross multiply
    44,871x = 67,415 × 67,415
  4. Step 4: Simplify right side
    44,871x = 4,544,782,225
  5. Step 5: Solve for x
    x = 4,544,782,225/44,871
  6. Step 6: Final answer
    x = 101,285.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.