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Finding the Third Proportional to 12,102 and 28,239

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Solution

The third proportional to 12,102 and 28,239 is: 65,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102 : 28,239 = 28,239 : x
  2. Step 2: Convert to fraction form
    12,102/28,239 = 28,239/x
  3. Step 3: Cross multiply
    12,102x = 28,239 × 28,239
  4. Step 4: Simplify right side
    12,102x = 797,441,121
  5. Step 5: Solve for x
    x = 797,441,121/12,102
  6. Step 6: Final answer
    x = 65,893.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.