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Finding the Third Proportional to 1,501.82 and 3,296.00

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Solution

The third proportional to 1,501.82 and 3,296.00 is: 7,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.82 : 3,296.00 = 3,296.00 : x
  2. Step 2: Convert to fraction form
    1,501.82/3,296.00 = 3,296.00/x
  3. Step 3: Cross multiply
    1,501.82x = 3,296.00 × 3,296.00
  4. Step 4: Simplify right side
    1,501.82x = 10,863,641.75
  5. Step 5: Solve for x
    x = 10,863,641.75/1,501.82
  6. Step 6: Final answer
    x = 7,233.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.