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Finding the Third Proportional to 4,928.34 and 6,728.06

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Solution

The third proportional to 4,928.34 and 6,728.06 is: 9,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.34 : 6,728.06 = 6,728.06 : x
  2. Step 2: Convert to fraction form
    4,928.34/6,728.06 = 6,728.06/x
  3. Step 3: Cross multiply
    4,928.34x = 6,728.06 × 6,728.06
  4. Step 4: Simplify right side
    4,928.34x = 45,266,825.00
  5. Step 5: Solve for x
    x = 45,266,825.00/4,928.34
  6. Step 6: Final answer
    x = 9,185.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.