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Finding the Third Proportional to 2,107.97 and 3,150.28

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Solution

The third proportional to 2,107.97 and 3,150.28 is: 4,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.97 : 3,150.28 = 3,150.28 : x
  2. Step 2: Convert to fraction form
    2,107.97/3,150.28 = 3,150.28/x
  3. Step 3: Cross multiply
    2,107.97x = 3,150.28 × 3,150.28
  4. Step 4: Simplify right side
    2,107.97x = 9,924,271.95
  5. Step 5: Solve for x
    x = 9,924,271.95/2,107.97
  6. Step 6: Final answer
    x = 4,707.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.