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Finding the Third Proportional to 5,703 and 8,621.50

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Solution

The third proportional to 5,703 and 8,621.50 is: 13,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703 : 8,621.50 = 8,621.50 : x
  2. Step 2: Convert to fraction form
    5,703/8,621.50 = 8,621.50/x
  3. Step 3: Cross multiply
    5,703x = 8,621.50 × 8,621.50
  4. Step 4: Simplify right side
    5,703x = 74,330,262.25
  5. Step 5: Solve for x
    x = 74,330,262.25/5,703
  6. Step 6: Final answer
    x = 13,033.54

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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.