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Finding the Third Proportional to 23,899.50 and 51,945

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Solution

The third proportional to 23,899.50 and 51,945 is: 112,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,899.50 : 51,945 = 51,945 : x
  2. Step 2: Convert to fraction form
    23,899.50/51,945 = 51,945/x
  3. Step 3: Cross multiply
    23,899.50x = 51,945 × 51,945
  4. Step 4: Simplify right side
    23,899.50x = 2,698,283,025
  5. Step 5: Solve for x
    x = 2,698,283,025/23,899.50
  6. Step 6: Final answer
    x = 112,901.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.