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Finding the Third Proportional to 4,621.63 and 7,103.88

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Solution

The third proportional to 4,621.63 and 7,103.88 is: 10,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,621.63 : 7,103.88 = 7,103.88 : x
  2. Step 2: Convert to fraction form
    4,621.63/7,103.88 = 7,103.88/x
  3. Step 3: Cross multiply
    4,621.63x = 7,103.88 × 7,103.88
  4. Step 4: Simplify right side
    4,621.63x = 50,465,040.02
  5. Step 5: Solve for x
    x = 50,465,040.02/4,621.63
  6. Step 6: Final answer
    x = 10,919.33

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