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Finding the Third Proportional to 23,715 and 48,253

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Solution

The third proportional to 23,715 and 48,253 is: 98,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,715 : 48,253 = 48,253 : x
  2. Step 2: Convert to fraction form
    23,715/48,253 = 48,253/x
  3. Step 3: Cross multiply
    23,715x = 48,253 × 48,253
  4. Step 4: Simplify right side
    23,715x = 2,328,352,009
  5. Step 5: Solve for x
    x = 2,328,352,009/23,715
  6. Step 6: Final answer
    x = 98,180.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.