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Finding the Third Proportional to 25,536 and 36,779

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Solution

The third proportional to 25,536 and 36,779 is: 52,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536 : 36,779 = 36,779 : x
  2. Step 2: Convert to fraction form
    25,536/36,779 = 36,779/x
  3. Step 3: Cross multiply
    25,536x = 36,779 × 36,779
  4. Step 4: Simplify right side
    25,536x = 1,352,694,841
  5. Step 5: Solve for x
    x = 1,352,694,841/25,536
  6. Step 6: Final answer
    x = 52,972.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.