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Finding the Third Proportional to 3,912.28 and 5,903.16

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Solution

The third proportional to 3,912.28 and 5,903.16 is: 8,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.28 : 5,903.16 = 5,903.16 : x
  2. Step 2: Convert to fraction form
    3,912.28/5,903.16 = 5,903.16/x
  3. Step 3: Cross multiply
    3,912.28x = 5,903.16 × 5,903.16
  4. Step 4: Simplify right side
    3,912.28x = 34,847,253.71
  5. Step 5: Solve for x
    x = 34,847,253.71/3,912.28
  6. Step 6: Final answer
    x = 8,907.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.