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Finding the Third Proportional to 1,008.75 and 2,200.03

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Solution

The third proportional to 1,008.75 and 2,200.03 is: 4,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.75 : 2,200.03 = 2,200.03 : x
  2. Step 2: Convert to fraction form
    1,008.75/2,200.03 = 2,200.03/x
  3. Step 3: Cross multiply
    1,008.75x = 2,200.03 × 2,200.03
  4. Step 4: Simplify right side
    1,008.75x = 4,840,137.50
  5. Step 5: Solve for x
    x = 4,840,137.50/1,008.75
  6. Step 6: Final answer
    x = 4,798.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.