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Finding the Third Proportional to 34,950 and 75,461

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Solution

The third proportional to 34,950 and 75,461 is: 162,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,950 : 75,461 = 75,461 : x
  2. Step 2: Convert to fraction form
    34,950/75,461 = 75,461/x
  3. Step 3: Cross multiply
    34,950x = 75,461 × 75,461
  4. Step 4: Simplify right side
    34,950x = 5,694,362,521
  5. Step 5: Solve for x
    x = 5,694,362,521/34,950
  6. Step 6: Final answer
    x = 162,928.83

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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.