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Finding the Third Proportional to 2,165 and 4,546

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Solution

The third proportional to 2,165 and 4,546 is: 9,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165 : 4,546 = 4,546 : x
  2. Step 2: Convert to fraction form
    2,165/4,546 = 4,546/x
  3. Step 3: Cross multiply
    2,165x = 4,546 × 4,546
  4. Step 4: Simplify right side
    2,165x = 20,666,116
  5. Step 5: Solve for x
    x = 20,666,116/2,165
  6. Step 6: Final answer
    x = 9,545.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.