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Finding the Third Proportional to 1,830 and 4,006.50

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Solution

The third proportional to 1,830 and 4,006.50 is: 8,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830 : 4,006.50 = 4,006.50 : x
  2. Step 2: Convert to fraction form
    1,830/4,006.50 = 4,006.50/x
  3. Step 3: Cross multiply
    1,830x = 4,006.50 × 4,006.50
  4. Step 4: Simplify right side
    1,830x = 16,052,042.25
  5. Step 5: Solve for x
    x = 16,052,042.25/1,830
  6. Step 6: Final answer
    x = 8,771.61

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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.