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Finding the Third Proportional to 11,977.88 and 25,197.19

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Solution

The third proportional to 11,977.88 and 25,197.19 is: 53,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.88 : 25,197.19 = 25,197.19 : x
  2. Step 2: Convert to fraction form
    11,977.88/25,197.19 = 25,197.19/x
  3. Step 3: Cross multiply
    11,977.88x = 25,197.19 × 25,197.19
  4. Step 4: Simplify right side
    11,977.88x = 634,898,257.91
  5. Step 5: Solve for x
    x = 634,898,257.91/11,977.88
  6. Step 6: Final answer
    x = 53,005.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.