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Finding the Third Proportional to 25,827 and 39,255

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Solution

The third proportional to 25,827 and 39,255 is: 59,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827 : 39,255 = 39,255 : x
  2. Step 2: Convert to fraction form
    25,827/39,255 = 39,255/x
  3. Step 3: Cross multiply
    25,827x = 39,255 × 39,255
  4. Step 4: Simplify right side
    25,827x = 1,540,955,025
  5. Step 5: Solve for x
    x = 1,540,955,025/25,827
  6. Step 6: Final answer
    x = 59,664.50

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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.