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Finding the Third Proportional to 24,692 and 53,245

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Solution

The third proportional to 24,692 and 53,245 is: 114,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692 : 53,245 = 53,245 : x
  2. Step 2: Convert to fraction form
    24,692/53,245 = 53,245/x
  3. Step 3: Cross multiply
    24,692x = 53,245 × 53,245
  4. Step 4: Simplify right side
    24,692x = 2,835,030,025
  5. Step 5: Solve for x
    x = 2,835,030,025/24,692
  6. Step 6: Final answer
    x = 114,815.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.