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Finding the Third Proportional to 1,372.50 and 1,989

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Solution

The third proportional to 1,372.50 and 1,989 is: 2,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.50 : 1,989 = 1,989 : x
  2. Step 2: Convert to fraction form
    1,372.50/1,989 = 1,989/x
  3. Step 3: Cross multiply
    1,372.50x = 1,989 × 1,989
  4. Step 4: Simplify right side
    1,372.50x = 3,956,121
  5. Step 5: Solve for x
    x = 3,956,121/1,372.50
  6. Step 6: Final answer
    x = 2,882.42

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.