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Finding the Third Proportional to 3,002.63 and 5,739.75

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Solution

The third proportional to 3,002.63 and 5,739.75 is: 10,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.63 : 5,739.75 = 5,739.75 : x
  2. Step 2: Convert to fraction form
    3,002.63/5,739.75 = 5,739.75/x
  3. Step 3: Cross multiply
    3,002.63x = 5,739.75 × 5,739.75
  4. Step 4: Simplify right side
    3,002.63x = 32,944,730.06
  5. Step 5: Solve for x
    x = 32,944,730.06/3,002.63
  6. Step 6: Final answer
    x = 10,971.98

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.