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Finding the Third Proportional to 13,965 and 28,671

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Solution

The third proportional to 13,965 and 28,671 is: 58,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965 : 28,671 = 28,671 : x
  2. Step 2: Convert to fraction form
    13,965/28,671 = 28,671/x
  3. Step 3: Cross multiply
    13,965x = 28,671 × 28,671
  4. Step 4: Simplify right side
    13,965x = 822,026,241
  5. Step 5: Solve for x
    x = 822,026,241/13,965
  6. Step 6: Final answer
    x = 58,863.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.