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Finding the Third Proportional to 2,174 and 4,633

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Solution

The third proportional to 2,174 and 4,633 is: 9,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174 : 4,633 = 4,633 : x
  2. Step 2: Convert to fraction form
    2,174/4,633 = 4,633/x
  3. Step 3: Cross multiply
    2,174x = 4,633 × 4,633
  4. Step 4: Simplify right side
    2,174x = 21,464,689
  5. Step 5: Solve for x
    x = 21,464,689/2,174
  6. Step 6: Final answer
    x = 9,873.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.