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Finding the Third Proportional to 23,955 and 52,108.50

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Solution

The third proportional to 23,955 and 52,108.50 is: 113,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,955 : 52,108.50 = 52,108.50 : x
  2. Step 2: Convert to fraction form
    23,955/52,108.50 = 52,108.50/x
  3. Step 3: Cross multiply
    23,955x = 52,108.50 × 52,108.50
  4. Step 4: Simplify right side
    23,955x = 2,715,295,772.25
  5. Step 5: Solve for x
    x = 2,715,295,772.25/23,955
  6. Step 6: Final answer
    x = 113,349.85

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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.