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Finding the Third Proportional to 25,916 and 36,701.75

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Solution

The third proportional to 25,916 and 36,701.75 is: 51,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,916 : 36,701.75 = 36,701.75 : x
  2. Step 2: Convert to fraction form
    25,916/36,701.75 = 36,701.75/x
  3. Step 3: Cross multiply
    25,916x = 36,701.75 × 36,701.75
  4. Step 4: Simplify right side
    25,916x = 1,347,018,453.06
  5. Step 5: Solve for x
    x = 1,347,018,453.06/25,916
  6. Step 6: Final answer
    x = 51,976.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.