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Finding the Third Proportional to 962.51 and 2,107.27

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Solution

The third proportional to 962.51 and 2,107.27 is: 4,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.51 : 2,107.27 = 2,107.27 : x
  2. Step 2: Convert to fraction form
    962.51/2,107.27 = 2,107.27/x
  3. Step 3: Cross multiply
    962.51x = 2,107.27 × 2,107.27
  4. Step 4: Simplify right side
    962.51x = 4,440,568.41
  5. Step 5: Solve for x
    x = 4,440,568.41/962.51
  6. Step 6: Final answer
    x = 4,613.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.