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Finding the Third Proportional to 1,306.55 and 1,994.41

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Solution

The third proportional to 1,306.55 and 1,994.41 is: 3,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.55 : 1,994.41 = 1,994.41 : x
  2. Step 2: Convert to fraction form
    1,306.55/1,994.41 = 1,994.41/x
  3. Step 3: Cross multiply
    1,306.55x = 1,994.41 × 1,994.41
  4. Step 4: Simplify right side
    1,306.55x = 3,977,687.45
  5. Step 5: Solve for x
    x = 3,977,687.45/1,306.55
  6. Step 6: Final answer
    x = 3,044.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.