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Finding the Third Proportional to 1,830 and 2,898

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Solution

The third proportional to 1,830 and 2,898 is: 4,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830 : 2,898 = 2,898 : x
  2. Step 2: Convert to fraction form
    1,830/2,898 = 2,898/x
  3. Step 3: Cross multiply
    1,830x = 2,898 × 2,898
  4. Step 4: Simplify right side
    1,830x = 8,398,404
  5. Step 5: Solve for x
    x = 8,398,404/1,830
  6. Step 6: Final answer
    x = 4,589.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.