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Finding the Third Proportional to 11,452.63 and 24,863.50

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Solution

The third proportional to 11,452.63 and 24,863.50 is: 53,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.63 : 24,863.50 = 24,863.50 : x
  2. Step 2: Convert to fraction form
    11,452.63/24,863.50 = 24,863.50/x
  3. Step 3: Cross multiply
    11,452.63x = 24,863.50 × 24,863.50
  4. Step 4: Simplify right side
    11,452.63x = 618,193,632.25
  5. Step 5: Solve for x
    x = 618,193,632.25/11,452.63
  6. Step 6: Final answer
    x = 53,978.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.