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Finding the Third Proportional to 18,044 and 41,768

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Solution

The third proportional to 18,044 and 41,768 is: 96,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,044 : 41,768 = 41,768 : x
  2. Step 2: Convert to fraction form
    18,044/41,768 = 41,768/x
  3. Step 3: Cross multiply
    18,044x = 41,768 × 41,768
  4. Step 4: Simplify right side
    18,044x = 1,744,565,824
  5. Step 5: Solve for x
    x = 1,744,565,824/18,044
  6. Step 6: Final answer
    x = 96,683.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.