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Finding the Third Proportional to 11,157 and 23,239

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Solution

The third proportional to 11,157 and 23,239 is: 48,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157 : 23,239 = 23,239 : x
  2. Step 2: Convert to fraction form
    11,157/23,239 = 23,239/x
  3. Step 3: Cross multiply
    11,157x = 23,239 × 23,239
  4. Step 4: Simplify right side
    11,157x = 540,051,121
  5. Step 5: Solve for x
    x = 540,051,121/11,157
  6. Step 6: Final answer
    x = 48,404.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.