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Finding the Third Proportional to 2,975.06 and 3,912.47

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Solution

The third proportional to 2,975.06 and 3,912.47 is: 5,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.06 : 3,912.47 = 3,912.47 : x
  2. Step 2: Convert to fraction form
    2,975.06/3,912.47 = 3,912.47/x
  3. Step 3: Cross multiply
    2,975.06x = 3,912.47 × 3,912.47
  4. Step 4: Simplify right side
    2,975.06x = 15,307,411.72
  5. Step 5: Solve for x
    x = 15,307,411.72/2,975.06
  6. Step 6: Final answer
    x = 5,145.24

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.