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Finding the Third Proportional to 1,324.95 and 1,950.64

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Solution

The third proportional to 1,324.95 and 1,950.64 is: 2,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.95 : 1,950.64 = 1,950.64 : x
  2. Step 2: Convert to fraction form
    1,324.95/1,950.64 = 1,950.64/x
  3. Step 3: Cross multiply
    1,324.95x = 1,950.64 × 1,950.64
  4. Step 4: Simplify right side
    1,324.95x = 3,805,014.09
  5. Step 5: Solve for x
    x = 3,805,014.09/1,324.95
  6. Step 6: Final answer
    x = 2,871.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.