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Finding the Third Proportional to 2,276.65 and 3,272.48

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Solution

The third proportional to 2,276.65 and 3,272.48 is: 4,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.65 : 3,272.48 = 3,272.48 : x
  2. Step 2: Convert to fraction form
    2,276.65/3,272.48 = 3,272.48/x
  3. Step 3: Cross multiply
    2,276.65x = 3,272.48 × 3,272.48
  4. Step 4: Simplify right side
    2,276.65x = 10,709,153.98
  5. Step 5: Solve for x
    x = 10,709,153.98/2,276.65
  6. Step 6: Final answer
    x = 4,703.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.