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Finding the Third Proportional to 3,030.75 and 4,563.56

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Solution

The third proportional to 3,030.75 and 4,563.56 is: 6,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.75 : 4,563.56 = 4,563.56 : x
  2. Step 2: Convert to fraction form
    3,030.75/4,563.56 = 4,563.56/x
  3. Step 3: Cross multiply
    3,030.75x = 4,563.56 × 4,563.56
  4. Step 4: Simplify right side
    3,030.75x = 20,826,102.69
  5. Step 5: Solve for x
    x = 20,826,102.69/3,030.75
  6. Step 6: Final answer
    x = 6,871.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.