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Finding the Third Proportional to 1,699.88 and 2,203.88

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Solution

The third proportional to 1,699.88 and 2,203.88 is: 2,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.88 : 2,203.88 = 2,203.88 : x
  2. Step 2: Convert to fraction form
    1,699.88/2,203.88 = 2,203.88/x
  3. Step 3: Cross multiply
    1,699.88x = 2,203.88 × 2,203.88
  4. Step 4: Simplify right side
    1,699.88x = 4,857,065.02
  5. Step 5: Solve for x
    x = 4,857,065.02/1,699.88
  6. Step 6: Final answer
    x = 2,857.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.