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Finding the Third Proportional to 1,563.75 and 3,272.63

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Solution

The third proportional to 1,563.75 and 3,272.63 is: 6,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.75 : 3,272.63 = 3,272.63 : x
  2. Step 2: Convert to fraction form
    1,563.75/3,272.63 = 3,272.63/x
  3. Step 3: Cross multiply
    1,563.75x = 3,272.63 × 3,272.63
  4. Step 4: Simplify right side
    1,563.75x = 10,710,074.39
  5. Step 5: Solve for x
    x = 10,710,074.39/1,563.75
  6. Step 6: Final answer
    x = 6,848.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.