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Finding the Third Proportional to 23,768 and 36,945

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Solution

The third proportional to 23,768 and 36,945 is: 57,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,768 : 36,945 = 36,945 : x
  2. Step 2: Convert to fraction form
    23,768/36,945 = 36,945/x
  3. Step 3: Cross multiply
    23,768x = 36,945 × 36,945
  4. Step 4: Simplify right side
    23,768x = 1,364,933,025
  5. Step 5: Solve for x
    x = 1,364,933,025/23,768
  6. Step 6: Final answer
    x = 57,427.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.