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Finding the Third Proportional to 18,302 and 44,032

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Solution

The third proportional to 18,302 and 44,032 is: 105,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,302 : 44,032 = 44,032 : x
  2. Step 2: Convert to fraction form
    18,302/44,032 = 44,032/x
  3. Step 3: Cross multiply
    18,302x = 44,032 × 44,032
  4. Step 4: Simplify right side
    18,302x = 1,938,817,024
  5. Step 5: Solve for x
    x = 1,938,817,024/18,302
  6. Step 6: Final answer
    x = 105,934.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.