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Finding the Third Proportional to 2,364.19 and 3,364.03

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Solution

The third proportional to 2,364.19 and 3,364.03 is: 4,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.19 : 3,364.03 = 3,364.03 : x
  2. Step 2: Convert to fraction form
    2,364.19/3,364.03 = 3,364.03/x
  3. Step 3: Cross multiply
    2,364.19x = 3,364.03 × 3,364.03
  4. Step 4: Simplify right side
    2,364.19x = 11,316,706.25
  5. Step 5: Solve for x
    x = 11,316,706.25/2,364.19
  6. Step 6: Final answer
    x = 4,786.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.