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Finding the Third Proportional to 26,004 and 37,062

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Solution

The third proportional to 26,004 and 37,062 is: 52,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004 : 37,062 = 37,062 : x
  2. Step 2: Convert to fraction form
    26,004/37,062 = 37,062/x
  3. Step 3: Cross multiply
    26,004x = 37,062 × 37,062
  4. Step 4: Simplify right side
    26,004x = 1,373,591,844
  5. Step 5: Solve for x
    x = 1,373,591,844/26,004
  6. Step 6: Final answer
    x = 52,822.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.