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Finding the Third Proportional to 1,830 and 4,017

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Solution

The third proportional to 1,830 and 4,017 is: 8,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830 : 4,017 = 4,017 : x
  2. Step 2: Convert to fraction form
    1,830/4,017 = 4,017/x
  3. Step 3: Cross multiply
    1,830x = 4,017 × 4,017
  4. Step 4: Simplify right side
    1,830x = 16,136,289
  5. Step 5: Solve for x
    x = 16,136,289/1,830
  6. Step 6: Final answer
    x = 8,817.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.