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Finding the Third Proportional to 2,089.13 and 3,157.31

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Solution

The third proportional to 2,089.13 and 3,157.31 is: 4,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.13 : 3,157.31 = 3,157.31 : x
  2. Step 2: Convert to fraction form
    2,089.13/3,157.31 = 3,157.31/x
  3. Step 3: Cross multiply
    2,089.13x = 3,157.31 × 3,157.31
  4. Step 4: Simplify right side
    2,089.13x = 9,968,622.22
  5. Step 5: Solve for x
    x = 9,968,622.22/2,089.13
  6. Step 6: Final answer
    x = 4,771.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.