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Finding the Third Proportional to 34,940 and 75,415

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Solution

The third proportional to 34,940 and 75,415 is: 162,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,940 : 75,415 = 75,415 : x
  2. Step 2: Convert to fraction form
    34,940/75,415 = 75,415/x
  3. Step 3: Cross multiply
    34,940x = 75,415 × 75,415
  4. Step 4: Simplify right side
    34,940x = 5,687,422,225
  5. Step 5: Solve for x
    x = 5,687,422,225/34,940
  6. Step 6: Final answer
    x = 162,776.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.