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Finding the Third Proportional to 2,584 and 2,806

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Solution

The third proportional to 2,584 and 2,806 is: 3,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 2,806 = 2,806 : x
  2. Step 2: Convert to fraction form
    2,584/2,806 = 2,806/x
  3. Step 3: Cross multiply
    2,584x = 2,806 × 2,806
  4. Step 4: Simplify right side
    2,584x = 7,873,636
  5. Step 5: Solve for x
    x = 7,873,636/2,584
  6. Step 6: Final answer
    x = 3,047.07

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.