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Finding the Third Proportional to 1,929.38 and 4,553.44

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Solution

The third proportional to 1,929.38 and 4,553.44 is: 10,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.38 : 4,553.44 = 4,553.44 : x
  2. Step 2: Convert to fraction form
    1,929.38/4,553.44 = 4,553.44/x
  3. Step 3: Cross multiply
    1,929.38x = 4,553.44 × 4,553.44
  4. Step 4: Simplify right side
    1,929.38x = 20,733,793.07
  5. Step 5: Solve for x
    x = 20,733,793.07/1,929.38
  6. Step 6: Final answer
    x = 10,746.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.