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Finding the Third Proportional to 1,911.56 and 4,199.16

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Solution

The third proportional to 1,911.56 and 4,199.16 is: 9,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.56 : 4,199.16 = 4,199.16 : x
  2. Step 2: Convert to fraction form
    1,911.56/4,199.16 = 4,199.16/x
  3. Step 3: Cross multiply
    1,911.56x = 4,199.16 × 4,199.16
  4. Step 4: Simplify right side
    1,911.56x = 17,632,913.21
  5. Step 5: Solve for x
    x = 17,632,913.21/1,911.56
  6. Step 6: Final answer
    x = 9,224.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.