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Finding the Third Proportional to 18,072 and 25,788

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Solution

The third proportional to 18,072 and 25,788 is: 36,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,072 : 25,788 = 25,788 : x
  2. Step 2: Convert to fraction form
    18,072/25,788 = 25,788/x
  3. Step 3: Cross multiply
    18,072x = 25,788 × 25,788
  4. Step 4: Simplify right side
    18,072x = 665,020,944
  5. Step 5: Solve for x
    x = 665,020,944/18,072
  6. Step 6: Final answer
    x = 36,798.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.