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Finding the Third Proportional to 1,830 and 3,576

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Solution

The third proportional to 1,830 and 3,576 is: 6,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830 : 3,576 = 3,576 : x
  2. Step 2: Convert to fraction form
    1,830/3,576 = 3,576/x
  3. Step 3: Cross multiply
    1,830x = 3,576 × 3,576
  4. Step 4: Simplify right side
    1,830x = 12,787,776
  5. Step 5: Solve for x
    x = 12,787,776/1,830
  6. Step 6: Final answer
    x = 6,987.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.