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Finding the Third Proportional to 1,172.81 and 1,690.03

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Solution

The third proportional to 1,172.81 and 1,690.03 is: 2,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.81 : 1,690.03 = 1,690.03 : x
  2. Step 2: Convert to fraction form
    1,172.81/1,690.03 = 1,690.03/x
  3. Step 3: Cross multiply
    1,172.81x = 1,690.03 × 1,690.03
  4. Step 4: Simplify right side
    1,172.81x = 2,856,205.63
  5. Step 5: Solve for x
    x = 2,856,205.63/1,172.81
  6. Step 6: Final answer
    x = 2,435.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.