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Finding the Third Proportional to 5,941.48 and 12,760.45

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Solution

The third proportional to 5,941.48 and 12,760.45 is: 27,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.48 : 12,760.45 = 12,760.45 : x
  2. Step 2: Convert to fraction form
    5,941.48/12,760.45 = 12,760.45/x
  3. Step 3: Cross multiply
    5,941.48x = 12,760.45 × 12,760.45
  4. Step 4: Simplify right side
    5,941.48x = 162,829,163.96
  5. Step 5: Solve for x
    x = 162,829,163.96/5,941.48
  6. Step 6: Final answer
    x = 27,405.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.