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Finding the Third Proportional to 3,149.63 and 4,787.25

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Solution

The third proportional to 3,149.63 and 4,787.25 is: 7,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.63 : 4,787.25 = 4,787.25 : x
  2. Step 2: Convert to fraction form
    3,149.63/4,787.25 = 4,787.25/x
  3. Step 3: Cross multiply
    3,149.63x = 4,787.25 × 4,787.25
  4. Step 4: Simplify right side
    3,149.63x = 22,917,762.56
  5. Step 5: Solve for x
    x = 22,917,762.56/3,149.63
  6. Step 6: Final answer
    x = 7,276.35

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.