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Finding the Third Proportional to 1,103.63 and 2,361.19

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Solution

The third proportional to 1,103.63 and 2,361.19 is: 5,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.63 : 2,361.19 = 2,361.19 : x
  2. Step 2: Convert to fraction form
    1,103.63/2,361.19 = 2,361.19/x
  3. Step 3: Cross multiply
    1,103.63x = 2,361.19 × 2,361.19
  4. Step 4: Simplify right side
    1,103.63x = 5,575,206.41
  5. Step 5: Solve for x
    x = 5,575,206.41/1,103.63
  6. Step 6: Final answer
    x = 5,051.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.