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Finding the Third Proportional to 2,166 and 4,593

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Solution

The third proportional to 2,166 and 4,593 is: 9,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166 : 4,593 = 4,593 : x
  2. Step 2: Convert to fraction form
    2,166/4,593 = 4,593/x
  3. Step 3: Cross multiply
    2,166x = 4,593 × 4,593
  4. Step 4: Simplify right side
    2,166x = 21,095,649
  5. Step 5: Solve for x
    x = 21,095,649/2,166
  6. Step 6: Final answer
    x = 9,739.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.