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Finding the Third Proportional to 34,476 and 54,009

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Solution

The third proportional to 34,476 and 54,009 is: 84,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,476 : 54,009 = 54,009 : x
  2. Step 2: Convert to fraction form
    34,476/54,009 = 54,009/x
  3. Step 3: Cross multiply
    34,476x = 54,009 × 54,009
  4. Step 4: Simplify right side
    34,476x = 2,916,972,081
  5. Step 5: Solve for x
    x = 2,916,972,081/34,476
  6. Step 6: Final answer
    x = 84,608.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.