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Finding the Third Proportional to 1,322.81 and 1,943.16

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Solution

The third proportional to 1,322.81 and 1,943.16 is: 2,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.81 : 1,943.16 = 1,943.16 : x
  2. Step 2: Convert to fraction form
    1,322.81/1,943.16 = 1,943.16/x
  3. Step 3: Cross multiply
    1,322.81x = 1,943.16 × 1,943.16
  4. Step 4: Simplify right side
    1,322.81x = 3,775,856.21
  5. Step 5: Solve for x
    x = 3,775,856.21/1,322.81
  6. Step 6: Final answer
    x = 2,854.42

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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.