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Finding the Third Proportional to 5,105.25 and 8,852.63

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Solution

The third proportional to 5,105.25 and 8,852.63 is: 15,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.25 : 8,852.63 = 8,852.63 : x
  2. Step 2: Convert to fraction form
    5,105.25/8,852.63 = 8,852.63/x
  3. Step 3: Cross multiply
    5,105.25x = 8,852.63 × 8,852.63
  4. Step 4: Simplify right side
    5,105.25x = 78,368,969.39
  5. Step 5: Solve for x
    x = 78,368,969.39/5,105.25
  6. Step 6: Final answer
    x = 15,350.66

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.