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Finding the Third Proportional to 1,980.56 and 3,040.31

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Solution

The third proportional to 1,980.56 and 3,040.31 is: 4,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.56 : 3,040.31 = 3,040.31 : x
  2. Step 2: Convert to fraction form
    1,980.56/3,040.31 = 3,040.31/x
  3. Step 3: Cross multiply
    1,980.56x = 3,040.31 × 3,040.31
  4. Step 4: Simplify right side
    1,980.56x = 9,243,500.10
  5. Step 5: Solve for x
    x = 9,243,500.10/1,980.56
  6. Step 6: Final answer
    x = 4,667.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.