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Finding the Third Proportional to 1,361.18 and 2,981.60

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Solution

The third proportional to 1,361.18 and 2,981.60 is: 6,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.18 : 2,981.60 = 2,981.60 : x
  2. Step 2: Convert to fraction form
    1,361.18/2,981.60 = 2,981.60/x
  3. Step 3: Cross multiply
    1,361.18x = 2,981.60 × 2,981.60
  4. Step 4: Simplify right side
    1,361.18x = 8,889,947.88
  5. Step 5: Solve for x
    x = 8,889,947.88/1,361.18
  6. Step 6: Final answer
    x = 6,531.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.