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Finding the Third Proportional to 4,772.67 and 10,029.45

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Solution

The third proportional to 4,772.67 and 10,029.45 is: 21,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.67 : 10,029.45 = 10,029.45 : x
  2. Step 2: Convert to fraction form
    4,772.67/10,029.45 = 10,029.45/x
  3. Step 3: Cross multiply
    4,772.67x = 10,029.45 × 10,029.45
  4. Step 4: Simplify right side
    4,772.67x = 100,589,773.28
  5. Step 5: Solve for x
    x = 100,589,773.28/4,772.67
  6. Step 6: Final answer
    x = 21,076.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.