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Finding the Third Proportional to 8,639 and 13,753

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Solution

The third proportional to 8,639 and 13,753 is: 21,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639 : 13,753 = 13,753 : x
  2. Step 2: Convert to fraction form
    8,639/13,753 = 13,753/x
  3. Step 3: Cross multiply
    8,639x = 13,753 × 13,753
  4. Step 4: Simplify right side
    8,639x = 189,145,009
  5. Step 5: Solve for x
    x = 189,145,009/8,639
  6. Step 6: Final answer
    x = 21,894.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.