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Finding the Third Proportional to 2,157.26 and 4,573.34

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Solution

The third proportional to 2,157.26 and 4,573.34 is: 9,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.26 : 4,573.34 = 4,573.34 : x
  2. Step 2: Convert to fraction form
    2,157.26/4,573.34 = 4,573.34/x
  3. Step 3: Cross multiply
    2,157.26x = 4,573.34 × 4,573.34
  4. Step 4: Simplify right side
    2,157.26x = 20,915,401.60
  5. Step 5: Solve for x
    x = 20,915,401.60/2,157.26
  6. Step 6: Final answer
    x = 9,695.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.