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Finding the Third Proportional to 2,191.64 and 3,402.63

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Solution

The third proportional to 2,191.64 and 3,402.63 is: 5,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.64 : 3,402.63 = 3,402.63 : x
  2. Step 2: Convert to fraction form
    2,191.64/3,402.63 = 3,402.63/x
  3. Step 3: Cross multiply
    2,191.64x = 3,402.63 × 3,402.63
  4. Step 4: Simplify right side
    2,191.64x = 11,577,910.06
  5. Step 5: Solve for x
    x = 11,577,910.06/2,191.64
  6. Step 6: Final answer
    x = 5,282.76

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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.