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Finding the Third Proportional to 34,462 and 51,044

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Solution

The third proportional to 34,462 and 51,044 is: 75,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,462 : 51,044 = 51,044 : x
  2. Step 2: Convert to fraction form
    34,462/51,044 = 51,044/x
  3. Step 3: Cross multiply
    34,462x = 51,044 × 51,044
  4. Step 4: Simplify right side
    34,462x = 2,605,489,936
  5. Step 5: Solve for x
    x = 2,605,489,936/34,462
  6. Step 6: Final answer
    x = 75,604.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.