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Finding the Third Proportional to 9,296 and 20,660

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Solution

The third proportional to 9,296 and 20,660 is: 45,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 20,660 = 20,660 : x
  2. Step 2: Convert to fraction form
    9,296/20,660 = 20,660/x
  3. Step 3: Cross multiply
    9,296x = 20,660 × 20,660
  4. Step 4: Simplify right side
    9,296x = 426,835,600
  5. Step 5: Solve for x
    x = 426,835,600/9,296
  6. Step 6: Final answer
    x = 45,916.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.