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Finding the Third Proportional to 34,006 and 51,009

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Solution

The third proportional to 34,006 and 51,009 is: 76,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006 : 51,009 = 51,009 : x
  2. Step 2: Convert to fraction form
    34,006/51,009 = 51,009/x
  3. Step 3: Cross multiply
    34,006x = 51,009 × 51,009
  4. Step 4: Simplify right side
    34,006x = 2,601,918,081
  5. Step 5: Solve for x
    x = 2,601,918,081/34,006
  6. Step 6: Final answer
    x = 76,513.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.