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Finding the Third Proportional to 4,881.94 and 10,288.69

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Solution

The third proportional to 4,881.94 and 10,288.69 is: 21,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.94 : 10,288.69 = 10,288.69 : x
  2. Step 2: Convert to fraction form
    4,881.94/10,288.69 = 10,288.69/x
  3. Step 3: Cross multiply
    4,881.94x = 10,288.69 × 10,288.69
  4. Step 4: Simplify right side
    4,881.94x = 105,857,090.47
  5. Step 5: Solve for x
    x = 105,857,090.47/4,881.94
  6. Step 6: Final answer
    x = 21,683.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.