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Finding the Third Proportional to 2,002.70 and 4,313.56

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Solution

The third proportional to 2,002.70 and 4,313.56 is: 9,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.70 : 4,313.56 = 4,313.56 : x
  2. Step 2: Convert to fraction form
    2,002.70/4,313.56 = 4,313.56/x
  3. Step 3: Cross multiply
    2,002.70x = 4,313.56 × 4,313.56
  4. Step 4: Simplify right side
    2,002.70x = 18,606,779.32
  5. Step 5: Solve for x
    x = 18,606,779.32/2,002.70
  6. Step 6: Final answer
    x = 9,290.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.