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Finding the Third Proportional to 12,467 and 28,863

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Solution

The third proportional to 12,467 and 28,863 is: 66,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467 : 28,863 = 28,863 : x
  2. Step 2: Convert to fraction form
    12,467/28,863 = 28,863/x
  3. Step 3: Cross multiply
    12,467x = 28,863 × 28,863
  4. Step 4: Simplify right side
    12,467x = 833,072,769
  5. Step 5: Solve for x
    x = 833,072,769/12,467
  6. Step 6: Final answer
    x = 66,822.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.