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Finding the Third Proportional to 1,980.07 and 3,091.08

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Solution

The third proportional to 1,980.07 and 3,091.08 is: 4,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.07 : 3,091.08 = 3,091.08 : x
  2. Step 2: Convert to fraction form
    1,980.07/3,091.08 = 3,091.08/x
  3. Step 3: Cross multiply
    1,980.07x = 3,091.08 × 3,091.08
  4. Step 4: Simplify right side
    1,980.07x = 9,554,763.97
  5. Step 5: Solve for x
    x = 9,554,763.97/1,980.07
  6. Step 6: Final answer
    x = 4,825.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.