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Finding the Third Proportional to 23,427 and 47,806.50

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Solution

The third proportional to 23,427 and 47,806.50 is: 97,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,427 : 47,806.50 = 47,806.50 : x
  2. Step 2: Convert to fraction form
    23,427/47,806.50 = 47,806.50/x
  3. Step 3: Cross multiply
    23,427x = 47,806.50 × 47,806.50
  4. Step 4: Simplify right side
    23,427x = 2,285,461,442.25
  5. Step 5: Solve for x
    x = 2,285,461,442.25/23,427
  6. Step 6: Final answer
    x = 97,556.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.