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Finding the Third Proportional to 651 and 1,435.88

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Solution

The third proportional to 651 and 1,435.88 is: 3,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    651 : 1,435.88 = 1,435.88 : x
  2. Step 2: Convert to fraction form
    651/1,435.88 = 1,435.88/x
  3. Step 3: Cross multiply
    651x = 1,435.88 × 1,435.88
  4. Step 4: Simplify right side
    651x = 2,061,737.02
  5. Step 5: Solve for x
    x = 2,061,737.02/651
  6. Step 6: Final answer
    x = 3,167.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.