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Finding the Third Proportional to 1,851.75 and 3,884.06

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Solution

The third proportional to 1,851.75 and 3,884.06 is: 8,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.75 : 3,884.06 = 3,884.06 : x
  2. Step 2: Convert to fraction form
    1,851.75/3,884.06 = 3,884.06/x
  3. Step 3: Cross multiply
    1,851.75x = 3,884.06 × 3,884.06
  4. Step 4: Simplify right side
    1,851.75x = 15,085,941.50
  5. Step 5: Solve for x
    x = 15,085,941.50/1,851.75
  6. Step 6: Final answer
    x = 8,146.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.