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Finding the Third Proportional to 34,237 and 51,125

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Solution

The third proportional to 34,237 and 51,125 is: 76,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,237 : 51,125 = 51,125 : x
  2. Step 2: Convert to fraction form
    34,237/51,125 = 51,125/x
  3. Step 3: Cross multiply
    34,237x = 51,125 × 51,125
  4. Step 4: Simplify right side
    34,237x = 2,613,765,625
  5. Step 5: Solve for x
    x = 2,613,765,625/34,237
  6. Step 6: Final answer
    x = 76,343.30

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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.