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Finding the Third Proportional to 23,830 and 36,257

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Solution

The third proportional to 23,830 and 36,257 is: 55,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830 : 36,257 = 36,257 : x
  2. Step 2: Convert to fraction form
    23,830/36,257 = 36,257/x
  3. Step 3: Cross multiply
    23,830x = 36,257 × 36,257
  4. Step 4: Simplify right side
    23,830x = 1,314,570,049
  5. Step 5: Solve for x
    x = 1,314,570,049/23,830
  6. Step 6: Final answer
    x = 55,164.50

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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.