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Finding the Third Proportional to 1,650.75 and 2,623.88

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Solution

The third proportional to 1,650.75 and 2,623.88 is: 4,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.75 : 2,623.88 = 2,623.88 : x
  2. Step 2: Convert to fraction form
    1,650.75/2,623.88 = 2,623.88/x
  3. Step 3: Cross multiply
    1,650.75x = 2,623.88 × 2,623.88
  4. Step 4: Simplify right side
    1,650.75x = 6,884,720.02
  5. Step 5: Solve for x
    x = 6,884,720.02/1,650.75
  6. Step 6: Final answer
    x = 4,170.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.