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Finding the Third Proportional to 34,476 and 74,229

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Solution

The third proportional to 34,476 and 74,229 is: 159,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,476 : 74,229 = 74,229 : x
  2. Step 2: Convert to fraction form
    34,476/74,229 = 74,229/x
  3. Step 3: Cross multiply
    34,476x = 74,229 × 74,229
  4. Step 4: Simplify right side
    34,476x = 5,509,944,441
  5. Step 5: Solve for x
    x = 5,509,944,441/34,476
  6. Step 6: Final answer
    x = 159,819.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.