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Finding the Third Proportional to 26,700 and 37,558

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Solution

The third proportional to 26,700 and 37,558 is: 52,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,700 : 37,558 = 37,558 : x
  2. Step 2: Convert to fraction form
    26,700/37,558 = 37,558/x
  3. Step 3: Cross multiply
    26,700x = 37,558 × 37,558
  4. Step 4: Simplify right side
    26,700x = 1,410,603,364
  5. Step 5: Solve for x
    x = 1,410,603,364/26,700
  6. Step 6: Final answer
    x = 52,831.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.