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Finding the Third Proportional to 11,410.88 and 24,497.44

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Solution

The third proportional to 11,410.88 and 24,497.44 is: 52,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.88 : 24,497.44 = 24,497.44 : x
  2. Step 2: Convert to fraction form
    11,410.88/24,497.44 = 24,497.44/x
  3. Step 3: Cross multiply
    11,410.88x = 24,497.44 × 24,497.44
  4. Step 4: Simplify right side
    11,410.88x = 600,124,444.07
  5. Step 5: Solve for x
    x = 600,124,444.07/11,410.88
  6. Step 6: Final answer
    x = 52,592.32

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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.