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Finding the Third Proportional to 23,873 and 52,511.50

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Solution

The third proportional to 23,873 and 52,511.50 is: 115,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873 : 52,511.50 = 52,511.50 : x
  2. Step 2: Convert to fraction form
    23,873/52,511.50 = 52,511.50/x
  3. Step 3: Cross multiply
    23,873x = 52,511.50 × 52,511.50
  4. Step 4: Simplify right side
    23,873x = 2,757,457,632.25
  5. Step 5: Solve for x
    x = 2,757,457,632.25/23,873
  6. Step 6: Final answer
    x = 115,505.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.