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Finding the Third Proportional to 1,650 and 2,634.75

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Solution

The third proportional to 1,650 and 2,634.75 is: 4,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650 : 2,634.75 = 2,634.75 : x
  2. Step 2: Convert to fraction form
    1,650/2,634.75 = 2,634.75/x
  3. Step 3: Cross multiply
    1,650x = 2,634.75 × 2,634.75
  4. Step 4: Simplify right side
    1,650x = 6,941,907.56
  5. Step 5: Solve for x
    x = 6,941,907.56/1,650
  6. Step 6: Final answer
    x = 4,207.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.