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Finding the Third Proportional to 1,381.22 and 3,002.91

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Solution

The third proportional to 1,381.22 and 3,002.91 is: 6,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.22 : 3,002.91 = 3,002.91 : x
  2. Step 2: Convert to fraction form
    1,381.22/3,002.91 = 3,002.91/x
  3. Step 3: Cross multiply
    1,381.22x = 3,002.91 × 3,002.91
  4. Step 4: Simplify right side
    1,381.22x = 9,017,445.95
  5. Step 5: Solve for x
    x = 9,017,445.95/1,381.22
  6. Step 6: Final answer
    x = 6,528.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.