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Finding the Third Proportional to 2,393.72 and 3,821.34

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Solution

The third proportional to 2,393.72 and 3,821.34 is: 6,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.72 : 3,821.34 = 3,821.34 : x
  2. Step 2: Convert to fraction form
    2,393.72/3,821.34 = 3,821.34/x
  3. Step 3: Cross multiply
    2,393.72x = 3,821.34 × 3,821.34
  4. Step 4: Simplify right side
    2,393.72x = 14,602,668.06
  5. Step 5: Solve for x
    x = 14,602,668.06/2,393.72
  6. Step 6: Final answer
    x = 6,100.41

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.