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Finding the Third Proportional to 1,597.22 and 3,384.28

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Solution

The third proportional to 1,597.22 and 3,384.28 is: 7,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.22 : 3,384.28 = 3,384.28 : x
  2. Step 2: Convert to fraction form
    1,597.22/3,384.28 = 3,384.28/x
  3. Step 3: Cross multiply
    1,597.22x = 3,384.28 × 3,384.28
  4. Step 4: Simplify right side
    1,597.22x = 11,453,359.58
  5. Step 5: Solve for x
    x = 11,453,359.58/1,597.22
  6. Step 6: Final answer
    x = 7,170.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.