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Finding the Third Proportional to 1,483.88 and 3,066.75

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Solution

The third proportional to 1,483.88 and 3,066.75 is: 6,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.88 : 3,066.75 = 3,066.75 : x
  2. Step 2: Convert to fraction form
    1,483.88/3,066.75 = 3,066.75/x
  3. Step 3: Cross multiply
    1,483.88x = 3,066.75 × 3,066.75
  4. Step 4: Simplify right side
    1,483.88x = 9,404,955.56
  5. Step 5: Solve for x
    x = 9,404,955.56/1,483.88
  6. Step 6: Final answer
    x = 6,338.11

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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.