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Finding the Third Proportional to 14,661 and 30,780

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Solution

The third proportional to 14,661 and 30,780 is: 64,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661 : 30,780 = 30,780 : x
  2. Step 2: Convert to fraction form
    14,661/30,780 = 30,780/x
  3. Step 3: Cross multiply
    14,661x = 30,780 × 30,780
  4. Step 4: Simplify right side
    14,661x = 947,408,400
  5. Step 5: Solve for x
    x = 947,408,400/14,661
  6. Step 6: Final answer
    x = 64,620.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.