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Finding the Third Proportional to 4,881.94 and 10,675.13

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Solution

The third proportional to 4,881.94 and 10,675.13 is: 23,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.94 : 10,675.13 = 10,675.13 : x
  2. Step 2: Convert to fraction form
    4,881.94/10,675.13 = 10,675.13/x
  3. Step 3: Cross multiply
    4,881.94x = 10,675.13 × 10,675.13
  4. Step 4: Simplify right side
    4,881.94x = 113,958,293.77
  5. Step 5: Solve for x
    x = 113,958,293.77/4,881.94
  6. Step 6: Final answer
    x = 23,342.84

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Why These Related Problems?

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