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Finding the Third Proportional to 18,584 and 25,996

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Solution

The third proportional to 18,584 and 25,996 is: 36,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584 : 25,996 = 25,996 : x
  2. Step 2: Convert to fraction form
    18,584/25,996 = 25,996/x
  3. Step 3: Cross multiply
    18,584x = 25,996 × 25,996
  4. Step 4: Simplify right side
    18,584x = 675,792,016
  5. Step 5: Solve for x
    x = 675,792,016/18,584
  6. Step 6: Final answer
    x = 36,364.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.