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Finding the Third Proportional to 23,851 and 36,083

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Solution

The third proportional to 23,851 and 36,083 is: 54,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851 : 36,083 = 36,083 : x
  2. Step 2: Convert to fraction form
    23,851/36,083 = 36,083/x
  3. Step 3: Cross multiply
    23,851x = 36,083 × 36,083
  4. Step 4: Simplify right side
    23,851x = 1,301,982,889
  5. Step 5: Solve for x
    x = 1,301,982,889/23,851
  6. Step 6: Final answer
    x = 54,588.19

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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.