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Finding the Third Proportional to 18,047 and 27,303

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Solution

The third proportional to 18,047 and 27,303 is: 41,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,047 : 27,303 = 27,303 : x
  2. Step 2: Convert to fraction form
    18,047/27,303 = 27,303/x
  3. Step 3: Cross multiply
    18,047x = 27,303 × 27,303
  4. Step 4: Simplify right side
    18,047x = 745,453,809
  5. Step 5: Solve for x
    x = 745,453,809/18,047
  6. Step 6: Final answer
    x = 41,306.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.