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Finding the Third Proportional to 13,906 and 28,963

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Solution

The third proportional to 13,906 and 28,963 is: 60,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906 : 28,963 = 28,963 : x
  2. Step 2: Convert to fraction form
    13,906/28,963 = 28,963/x
  3. Step 3: Cross multiply
    13,906x = 28,963 × 28,963
  4. Step 4: Simplify right side
    13,906x = 838,855,369
  5. Step 5: Solve for x
    x = 838,855,369/13,906
  6. Step 6: Final answer
    x = 60,323.27

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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.