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Finding the Third Proportional to 4,485.94 and 9,822.38

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Solution

The third proportional to 4,485.94 and 9,822.38 is: 21,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.94 : 9,822.38 = 9,822.38 : x
  2. Step 2: Convert to fraction form
    4,485.94/9,822.38 = 9,822.38/x
  3. Step 3: Cross multiply
    4,485.94x = 9,822.38 × 9,822.38
  4. Step 4: Simplify right side
    4,485.94x = 96,479,050.64
  5. Step 5: Solve for x
    x = 96,479,050.64/4,485.94
  6. Step 6: Final answer
    x = 21,507.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.