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Finding the Third Proportional to 26,617 and 37,009

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Solution

The third proportional to 26,617 and 37,009 is: 51,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,617 : 37,009 = 37,009 : x
  2. Step 2: Convert to fraction form
    26,617/37,009 = 37,009/x
  3. Step 3: Cross multiply
    26,617x = 37,009 × 37,009
  4. Step 4: Simplify right side
    26,617x = 1,369,666,081
  5. Step 5: Solve for x
    x = 1,369,666,081/26,617
  6. Step 6: Final answer
    x = 51,458.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.