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Finding the Third Proportional to 23,918.75 and 52,143.25

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Solution

The third proportional to 23,918.75 and 52,143.25 is: 113,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,918.75 : 52,143.25 = 52,143.25 : x
  2. Step 2: Convert to fraction form
    23,918.75/52,143.25 = 52,143.25/x
  3. Step 3: Cross multiply
    23,918.75x = 52,143.25 × 52,143.25
  4. Step 4: Simplify right side
    23,918.75x = 2,718,918,520.56
  5. Step 5: Solve for x
    x = 2,718,918,520.56/23,918.75
  6. Step 6: Final answer
    x = 113,673.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.