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Finding the Third Proportional to 11,558.64 and 24,871.43

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Solution

The third proportional to 11,558.64 and 24,871.43 is: 53,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.64 : 24,871.43 = 24,871.43 : x
  2. Step 2: Convert to fraction form
    11,558.64/24,871.43 = 24,871.43/x
  3. Step 3: Cross multiply
    11,558.64x = 24,871.43 × 24,871.43
  4. Step 4: Simplify right side
    11,558.64x = 618,588,014.70
  5. Step 5: Solve for x
    x = 618,588,014.70/11,558.64
  6. Step 6: Final answer
    x = 53,517.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.