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Finding the Third Proportional to 26,784 and 37,008

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Solution

The third proportional to 26,784 and 37,008 is: 51,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784 : 37,008 = 37,008 : x
  2. Step 2: Convert to fraction form
    26,784/37,008 = 37,008/x
  3. Step 3: Cross multiply
    26,784x = 37,008 × 37,008
  4. Step 4: Simplify right side
    26,784x = 1,369,592,064
  5. Step 5: Solve for x
    x = 1,369,592,064/26,784
  6. Step 6: Final answer
    x = 51,134.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.