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Finding the Third Proportional to 6,625.07 and 14,480.33

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Solution

The third proportional to 6,625.07 and 14,480.33 is: 31,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.07 : 14,480.33 = 14,480.33 : x
  2. Step 2: Convert to fraction form
    6,625.07/14,480.33 = 14,480.33/x
  3. Step 3: Cross multiply
    6,625.07x = 14,480.33 × 14,480.33
  4. Step 4: Simplify right side
    6,625.07x = 209,680,015.74
  5. Step 5: Solve for x
    x = 209,680,015.74/6,625.07
  6. Step 6: Final answer
    x = 31,649.47

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