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Finding the Third Proportional to 2,364.19 and 3,796.88

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Solution

The third proportional to 2,364.19 and 3,796.88 is: 6,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.19 : 3,796.88 = 3,796.88 : x
  2. Step 2: Convert to fraction form
    2,364.19/3,796.88 = 3,796.88/x
  3. Step 3: Cross multiply
    2,364.19x = 3,796.88 × 3,796.88
  4. Step 4: Simplify right side
    2,364.19x = 14,416,259.77
  5. Step 5: Solve for x
    x = 14,416,259.77/2,364.19
  6. Step 6: Final answer
    x = 6,097.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.