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Finding the Third Proportional to 1,262.46 and 2,762.23

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Solution

The third proportional to 1,262.46 and 2,762.23 is: 6,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.46 : 2,762.23 = 2,762.23 : x
  2. Step 2: Convert to fraction form
    1,262.46/2,762.23 = 2,762.23/x
  3. Step 3: Cross multiply
    1,262.46x = 2,762.23 × 2,762.23
  4. Step 4: Simplify right side
    1,262.46x = 7,629,895.58
  5. Step 5: Solve for x
    x = 7,629,895.58/1,262.46
  6. Step 6: Final answer
    x = 6,043.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.