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Finding the Third Proportional to 2,581 and 5,645

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Solution

The third proportional to 2,581 and 5,645 is: 12,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581 : 5,645 = 5,645 : x
  2. Step 2: Convert to fraction form
    2,581/5,645 = 5,645/x
  3. Step 3: Cross multiply
    2,581x = 5,645 × 5,645
  4. Step 4: Simplify right side
    2,581x = 31,866,025
  5. Step 5: Solve for x
    x = 31,866,025/2,581
  6. Step 6: Final answer
    x = 12,346.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.