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Finding the Third Proportional to 4,471.25 and 6,534.75

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Solution

The third proportional to 4,471.25 and 6,534.75 is: 9,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.25 : 6,534.75 = 6,534.75 : x
  2. Step 2: Convert to fraction form
    4,471.25/6,534.75 = 6,534.75/x
  3. Step 3: Cross multiply
    4,471.25x = 6,534.75 × 6,534.75
  4. Step 4: Simplify right side
    4,471.25x = 42,702,957.56
  5. Step 5: Solve for x
    x = 42,702,957.56/4,471.25
  6. Step 6: Final answer
    x = 9,550.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.