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Finding the Third Proportional to 2,912.06 and 6,289.88

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Solution

The third proportional to 2,912.06 and 6,289.88 is: 13,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.06 : 6,289.88 = 6,289.88 : x
  2. Step 2: Convert to fraction form
    2,912.06/6,289.88 = 6,289.88/x
  3. Step 3: Cross multiply
    2,912.06x = 6,289.88 × 6,289.88
  4. Step 4: Simplify right side
    2,912.06x = 39,562,527.52
  5. Step 5: Solve for x
    x = 39,562,527.52/2,912.06
  6. Step 6: Final answer
    x = 13,585.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.