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Finding the Third Proportional to 18,548 and 25,998

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Solution

The third proportional to 18,548 and 25,998 is: 36,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548 : 25,998 = 25,998 : x
  2. Step 2: Convert to fraction form
    18,548/25,998 = 25,998/x
  3. Step 3: Cross multiply
    18,548x = 25,998 × 25,998
  4. Step 4: Simplify right side
    18,548x = 675,896,004
  5. Step 5: Solve for x
    x = 675,896,004/18,548
  6. Step 6: Final answer
    x = 36,440.37

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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.