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Finding the Third Proportional to 2,208.38 and 4,719.38

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Solution

The third proportional to 2,208.38 and 4,719.38 is: 10,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.38 : 4,719.38 = 4,719.38 : x
  2. Step 2: Convert to fraction form
    2,208.38/4,719.38 = 4,719.38/x
  3. Step 3: Cross multiply
    2,208.38x = 4,719.38 × 4,719.38
  4. Step 4: Simplify right side
    2,208.38x = 22,272,500.39
  5. Step 5: Solve for x
    x = 22,272,500.39/2,208.38
  6. Step 6: Final answer
    x = 10,085.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.