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Finding the Third Proportional to 5,846.63 and 11,154.38

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Solution

The third proportional to 5,846.63 and 11,154.38 is: 21,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.63 : 11,154.38 = 11,154.38 : x
  2. Step 2: Convert to fraction form
    5,846.63/11,154.38 = 11,154.38/x
  3. Step 3: Cross multiply
    5,846.63x = 11,154.38 × 11,154.38
  4. Step 4: Simplify right side
    5,846.63x = 124,420,081.64
  5. Step 5: Solve for x
    x = 124,420,081.64/5,846.63
  6. Step 6: Final answer
    x = 21,280.67

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.