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Finding the Third Proportional to 4,625.16 and 10,029.94

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Solution

The third proportional to 4,625.16 and 10,029.94 is: 21,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.16 : 10,029.94 = 10,029.94 : x
  2. Step 2: Convert to fraction form
    4,625.16/10,029.94 = 10,029.94/x
  3. Step 3: Cross multiply
    4,625.16x = 10,029.94 × 10,029.94
  4. Step 4: Simplify right side
    4,625.16x = 100,599,646.25
  5. Step 5: Solve for x
    x = 100,599,646.25/4,625.16
  6. Step 6: Final answer
    x = 21,750.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.