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Finding the Third Proportional to 5,423.63 and 6,206.63

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Solution

The third proportional to 5,423.63 and 6,206.63 is: 7,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.63 : 6,206.63 = 6,206.63 : x
  2. Step 2: Convert to fraction form
    5,423.63/6,206.63 = 6,206.63/x
  3. Step 3: Cross multiply
    5,423.63x = 6,206.63 × 6,206.63
  4. Step 4: Simplify right side
    5,423.63x = 38,522,193.89
  5. Step 5: Solve for x
    x = 38,522,193.89/5,423.63
  6. Step 6: Final answer
    x = 7,102.67

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.