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Finding the Third Proportional to 4,977.75 and 9,954.75

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Solution

The third proportional to 4,977.75 and 9,954.75 is: 19,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.75 : 9,954.75 = 9,954.75 : x
  2. Step 2: Convert to fraction form
    4,977.75/9,954.75 = 9,954.75/x
  3. Step 3: Cross multiply
    4,977.75x = 9,954.75 × 9,954.75
  4. Step 4: Simplify right side
    4,977.75x = 99,097,047.56
  5. Step 5: Solve for x
    x = 99,097,047.56/4,977.75
  6. Step 6: Final answer
    x = 19,908.00

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.