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Finding the Third Proportional to 2,706.47 and 5,912.63

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Solution

The third proportional to 2,706.47 and 5,912.63 is: 12,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.47 : 5,912.63 = 5,912.63 : x
  2. Step 2: Convert to fraction form
    2,706.47/5,912.63 = 5,912.63/x
  3. Step 3: Cross multiply
    2,706.47x = 5,912.63 × 5,912.63
  4. Step 4: Simplify right side
    2,706.47x = 34,959,134.39
  5. Step 5: Solve for x
    x = 34,959,134.39/2,706.47
  6. Step 6: Final answer
    x = 12,916.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.