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Finding the Third Proportional to 18,274.50 and 23,895

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Solution

The third proportional to 18,274.50 and 23,895 is: 31,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.50 : 23,895 = 23,895 : x
  2. Step 2: Convert to fraction form
    18,274.50/23,895 = 23,895/x
  3. Step 3: Cross multiply
    18,274.50x = 23,895 × 23,895
  4. Step 4: Simplify right side
    18,274.50x = 570,971,025
  5. Step 5: Solve for x
    x = 570,971,025/18,274.50
  6. Step 6: Final answer
    x = 31,244.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.