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Finding the Third Proportional to 34,346 and 54,285

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Solution

The third proportional to 34,346 and 54,285 is: 85,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,346 : 54,285 = 54,285 : x
  2. Step 2: Convert to fraction form
    34,346/54,285 = 54,285/x
  3. Step 3: Cross multiply
    34,346x = 54,285 × 54,285
  4. Step 4: Simplify right side
    34,346x = 2,946,861,225
  5. Step 5: Solve for x
    x = 2,946,861,225/34,346
  6. Step 6: Final answer
    x = 85,799.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.