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Finding the Third Proportional to 1,851.75 and 3,839.63

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Solution

The third proportional to 1,851.75 and 3,839.63 is: 7,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.75 : 3,839.63 = 3,839.63 : x
  2. Step 2: Convert to fraction form
    1,851.75/3,839.63 = 3,839.63/x
  3. Step 3: Cross multiply
    1,851.75x = 3,839.63 × 3,839.63
  4. Step 4: Simplify right side
    1,851.75x = 14,742,720.14
  5. Step 5: Solve for x
    x = 14,742,720.14/1,851.75
  6. Step 6: Final answer
    x = 7,961.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.