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Finding the Third Proportional to 25,137 and 52,722

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Solution

The third proportional to 25,137 and 52,722 is: 110,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,137 : 52,722 = 52,722 : x
  2. Step 2: Convert to fraction form
    25,137/52,722 = 52,722/x
  3. Step 3: Cross multiply
    25,137x = 52,722 × 52,722
  4. Step 4: Simplify right side
    25,137x = 2,779,609,284
  5. Step 5: Solve for x
    x = 2,779,609,284/25,137
  6. Step 6: Final answer
    x = 110,578.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.