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Finding the Third Proportional to 2,584 and 3,455

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Solution

The third proportional to 2,584 and 3,455 is: 4,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 3,455 = 3,455 : x
  2. Step 2: Convert to fraction form
    2,584/3,455 = 3,455/x
  3. Step 3: Cross multiply
    2,584x = 3,455 × 3,455
  4. Step 4: Simplify right side
    2,584x = 11,937,025
  5. Step 5: Solve for x
    x = 11,937,025/2,584
  6. Step 6: Final answer
    x = 4,619.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.