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Finding the Third Proportional to 2,013 and 4,669.50

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Solution

The third proportional to 2,013 and 4,669.50 is: 10,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013 : 4,669.50 = 4,669.50 : x
  2. Step 2: Convert to fraction form
    2,013/4,669.50 = 4,669.50/x
  3. Step 3: Cross multiply
    2,013x = 4,669.50 × 4,669.50
  4. Step 4: Simplify right side
    2,013x = 21,804,230.25
  5. Step 5: Solve for x
    x = 21,804,230.25/2,013
  6. Step 6: Final answer
    x = 10,831.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.