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Finding the Third Proportional to 29,601 and 45,009

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Solution

The third proportional to 29,601 and 45,009 is: 68,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601 : 45,009 = 45,009 : x
  2. Step 2: Convert to fraction form
    29,601/45,009 = 45,009/x
  3. Step 3: Cross multiply
    29,601x = 45,009 × 45,009
  4. Step 4: Simplify right side
    29,601x = 2,025,810,081
  5. Step 5: Solve for x
    x = 2,025,810,081/29,601
  6. Step 6: Final answer
    x = 68,437.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.