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Finding the Third Proportional to 1,393.95 and 2,052.43

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Solution

The third proportional to 1,393.95 and 2,052.43 is: 3,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.95 : 2,052.43 = 2,052.43 : x
  2. Step 2: Convert to fraction form
    1,393.95/2,052.43 = 2,052.43/x
  3. Step 3: Cross multiply
    1,393.95x = 2,052.43 × 2,052.43
  4. Step 4: Simplify right side
    1,393.95x = 4,212,453.59
  5. Step 5: Solve for x
    x = 4,212,453.59/1,393.95
  6. Step 6: Final answer
    x = 3,021.95

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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.