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Finding the Third Proportional to 1,361.02 and 2,981.39

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Solution

The third proportional to 1,361.02 and 2,981.39 is: 6,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.02 : 2,981.39 = 2,981.39 : x
  2. Step 2: Convert to fraction form
    1,361.02/2,981.39 = 2,981.39/x
  3. Step 3: Cross multiply
    1,361.02x = 2,981.39 × 2,981.39
  4. Step 4: Simplify right side
    1,361.02x = 8,888,690.06
  5. Step 5: Solve for x
    x = 8,888,690.06/1,361.02
  6. Step 6: Final answer
    x = 6,530.92

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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.