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Finding the Third Proportional to 4,700.81 and 10,119.94

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Solution

The third proportional to 4,700.81 and 10,119.94 is: 21,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.81 : 10,119.94 = 10,119.94 : x
  2. Step 2: Convert to fraction form
    4,700.81/10,119.94 = 10,119.94/x
  3. Step 3: Cross multiply
    4,700.81x = 10,119.94 × 10,119.94
  4. Step 4: Simplify right side
    4,700.81x = 102,413,135.00
  5. Step 5: Solve for x
    x = 102,413,135.00/4,700.81
  6. Step 6: Final answer
    x = 21,786.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.