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Finding the Third Proportional to 2,963.46 and 4,457.53

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Solution

The third proportional to 2,963.46 and 4,457.53 is: 6,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.46 : 4,457.53 = 4,457.53 : x
  2. Step 2: Convert to fraction form
    2,963.46/4,457.53 = 4,457.53/x
  3. Step 3: Cross multiply
    2,963.46x = 4,457.53 × 4,457.53
  4. Step 4: Simplify right side
    2,963.46x = 19,869,584.84
  5. Step 5: Solve for x
    x = 19,869,584.84/2,963.46
  6. Step 6: Final answer
    x = 6,704.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.