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Finding the Third Proportional to 13,994 and 30,780

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Solution

The third proportional to 13,994 and 30,780 is: 67,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994 : 30,780 = 30,780 : x
  2. Step 2: Convert to fraction form
    13,994/30,780 = 30,780/x
  3. Step 3: Cross multiply
    13,994x = 30,780 × 30,780
  4. Step 4: Simplify right side
    13,994x = 947,408,400
  5. Step 5: Solve for x
    x = 947,408,400/13,994
  6. Step 6: Final answer
    x = 67,701.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.