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Finding the Third Proportional to 886.36 and 1,919.53

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Solution

The third proportional to 886.36 and 1,919.53 is: 4,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.36 : 1,919.53 = 1,919.53 : x
  2. Step 2: Convert to fraction form
    886.36/1,919.53 = 1,919.53/x
  3. Step 3: Cross multiply
    886.36x = 1,919.53 × 1,919.53
  4. Step 4: Simplify right side
    886.36x = 3,684,600.22
  5. Step 5: Solve for x
    x = 3,684,600.22/886.36
  6. Step 6: Final answer
    x = 4,157.00

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Why These Related Problems?

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