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Finding the Third Proportional to 25,722 and 34,407

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Solution

The third proportional to 25,722 and 34,407 is: 46,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722 : 34,407 = 34,407 : x
  2. Step 2: Convert to fraction form
    25,722/34,407 = 34,407/x
  3. Step 3: Cross multiply
    25,722x = 34,407 × 34,407
  4. Step 4: Simplify right side
    25,722x = 1,183,841,649
  5. Step 5: Solve for x
    x = 1,183,841,649/25,722
  6. Step 6: Final answer
    x = 46,024.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.