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Finding the Third Proportional to 23,828 and 36,254

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Solution

The third proportional to 23,828 and 36,254 is: 55,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828 : 36,254 = 36,254 : x
  2. Step 2: Convert to fraction form
    23,828/36,254 = 36,254/x
  3. Step 3: Cross multiply
    23,828x = 36,254 × 36,254
  4. Step 4: Simplify right side
    23,828x = 1,314,352,516
  5. Step 5: Solve for x
    x = 1,314,352,516/23,828
  6. Step 6: Final answer
    x = 55,160.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.