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Finding the Third Proportional to 5,941.90 and 12,910.01

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Solution

The third proportional to 5,941.90 and 12,910.01 is: 28,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.90 : 12,910.01 = 12,910.01 : x
  2. Step 2: Convert to fraction form
    5,941.90/12,910.01 = 12,910.01/x
  3. Step 3: Cross multiply
    5,941.90x = 12,910.01 × 12,910.01
  4. Step 4: Simplify right side
    5,941.90x = 166,668,301.72
  5. Step 5: Solve for x
    x = 166,668,301.72/5,941.90
  6. Step 6: Final answer
    x = 28,049.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.