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Finding the Third Proportional to 15,657.75 and 23,982.75

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Solution

The third proportional to 15,657.75 and 23,982.75 is: 36,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.75 : 23,982.75 = 23,982.75 : x
  2. Step 2: Convert to fraction form
    15,657.75/23,982.75 = 23,982.75/x
  3. Step 3: Cross multiply
    15,657.75x = 23,982.75 × 23,982.75
  4. Step 4: Simplify right side
    15,657.75x = 575,172,297.56
  5. Step 5: Solve for x
    x = 575,172,297.56/15,657.75
  6. Step 6: Final answer
    x = 36,734.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.