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Finding the Third Proportional to 37,726 and 51,235

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Solution

The third proportional to 37,726 and 51,235 is: 69,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,726 : 51,235 = 51,235 : x
  2. Step 2: Convert to fraction form
    37,726/51,235 = 51,235/x
  3. Step 3: Cross multiply
    37,726x = 51,235 × 51,235
  4. Step 4: Simplify right side
    37,726x = 2,625,025,225
  5. Step 5: Solve for x
    x = 2,625,025,225/37,726
  6. Step 6: Final answer
    x = 69,581.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.