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Finding the Third Proportional to 2,102.63 and 3,992.63

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Solution

The third proportional to 2,102.63 and 3,992.63 is: 7,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.63 : 3,992.63 = 3,992.63 : x
  2. Step 2: Convert to fraction form
    2,102.63/3,992.63 = 3,992.63/x
  3. Step 3: Cross multiply
    2,102.63x = 3,992.63 × 3,992.63
  4. Step 4: Simplify right side
    2,102.63x = 15,941,054.39
  5. Step 5: Solve for x
    x = 15,941,054.39/2,102.63
  6. Step 6: Final answer
    x = 7,581.50

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.