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Finding the Third Proportional to 9,274.50 and 13,706.72

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Solution

The third proportional to 9,274.50 and 13,706.72 is: 20,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.50 : 13,706.72 = 13,706.72 : x
  2. Step 2: Convert to fraction form
    9,274.50/13,706.72 = 13,706.72/x
  3. Step 3: Cross multiply
    9,274.50x = 13,706.72 × 13,706.72
  4. Step 4: Simplify right side
    9,274.50x = 187,874,138.89
  5. Step 5: Solve for x
    x = 187,874,138.89/9,274.50
  6. Step 6: Final answer
    x = 20,257.06

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.