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Finding the Third Proportional to 1,048.97 and 2,230.69

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Solution

The third proportional to 1,048.97 and 2,230.69 is: 4,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.97 : 2,230.69 = 2,230.69 : x
  2. Step 2: Convert to fraction form
    1,048.97/2,230.69 = 2,230.69/x
  3. Step 3: Cross multiply
    1,048.97x = 2,230.69 × 2,230.69
  4. Step 4: Simplify right side
    1,048.97x = 4,975,966.72
  5. Step 5: Solve for x
    x = 4,975,966.72/1,048.97
  6. Step 6: Final answer
    x = 4,743.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.