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Finding the Third Proportional to 3,030.75 and 3,314.25

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Solution

The third proportional to 3,030.75 and 3,314.25 is: 3,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.75 : 3,314.25 = 3,314.25 : x
  2. Step 2: Convert to fraction form
    3,030.75/3,314.25 = 3,314.25/x
  3. Step 3: Cross multiply
    3,030.75x = 3,314.25 × 3,314.25
  4. Step 4: Simplify right side
    3,030.75x = 10,984,253.06
  5. Step 5: Solve for x
    x = 10,984,253.06/3,030.75
  6. Step 6: Final answer
    x = 3,624.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.