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Finding the Third Proportional to 5,483.44 and 8,020.41

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Solution

The third proportional to 5,483.44 and 8,020.41 is: 11,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.44 : 8,020.41 = 8,020.41 : x
  2. Step 2: Convert to fraction form
    5,483.44/8,020.41 = 8,020.41/x
  3. Step 3: Cross multiply
    5,483.44x = 8,020.41 × 8,020.41
  4. Step 4: Simplify right side
    5,483.44x = 64,326,916.42
  5. Step 5: Solve for x
    x = 64,326,916.42/5,483.44
  6. Step 6: Final answer
    x = 11,731.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.