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Finding the Third Proportional to 11,303 and 24,247

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Solution

The third proportional to 11,303 and 24,247 is: 52,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303 : 24,247 = 24,247 : x
  2. Step 2: Convert to fraction form
    11,303/24,247 = 24,247/x
  3. Step 3: Cross multiply
    11,303x = 24,247 × 24,247
  4. Step 4: Simplify right side
    11,303x = 587,917,009
  5. Step 5: Solve for x
    x = 587,917,009/11,303
  6. Step 6: Final answer
    x = 52,014.24

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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.