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Finding the Third Proportional to 7,657.03 and 17,761.78

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Solution

The third proportional to 7,657.03 and 17,761.78 is: 41,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.03 : 17,761.78 = 17,761.78 : x
  2. Step 2: Convert to fraction form
    7,657.03/17,761.78 = 17,761.78/x
  3. Step 3: Cross multiply
    7,657.03x = 17,761.78 × 17,761.78
  4. Step 4: Simplify right side
    7,657.03x = 315,480,873.17
  5. Step 5: Solve for x
    x = 315,480,873.17/7,657.03
  6. Step 6: Final answer
    x = 41,201.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.