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Finding the Third Proportional to 2,070.56 and 3,204.14

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Solution

The third proportional to 2,070.56 and 3,204.14 is: 4,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.56 : 3,204.14 = 3,204.14 : x
  2. Step 2: Convert to fraction form
    2,070.56/3,204.14 = 3,204.14/x
  3. Step 3: Cross multiply
    2,070.56x = 3,204.14 × 3,204.14
  4. Step 4: Simplify right side
    2,070.56x = 10,266,517.14
  5. Step 5: Solve for x
    x = 10,266,517.14/2,070.56
  6. Step 6: Final answer
    x = 4,958.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.