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Finding the Third Proportional to 4,906.51 and 10,505.00

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Solution

The third proportional to 4,906.51 and 10,505.00 is: 22,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.51 : 10,505.00 = 10,505.00 : x
  2. Step 2: Convert to fraction form
    4,906.51/10,505.00 = 10,505.00/x
  3. Step 3: Cross multiply
    4,906.51x = 10,505.00 × 10,505.00
  4. Step 4: Simplify right side
    4,906.51x = 110,355,107.07
  5. Step 5: Solve for x
    x = 110,355,107.07/4,906.51
  6. Step 6: Final answer
    x = 22,491.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.