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Finding the Third Proportional to 13,722 and 14,680.50

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Solution

The third proportional to 13,722 and 14,680.50 is: 15,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722 : 14,680.50 = 14,680.50 : x
  2. Step 2: Convert to fraction form
    13,722/14,680.50 = 14,680.50/x
  3. Step 3: Cross multiply
    13,722x = 14,680.50 × 14,680.50
  4. Step 4: Simplify right side
    13,722x = 215,517,080.25
  5. Step 5: Solve for x
    x = 215,517,080.25/13,722
  6. Step 6: Final answer
    x = 15,705.95

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.