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Finding the Third Proportional to 4,999.22 and 7,768.41

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Solution

The third proportional to 4,999.22 and 7,768.41 is: 12,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.22 : 7,768.41 = 7,768.41 : x
  2. Step 2: Convert to fraction form
    4,999.22/7,768.41 = 7,768.41/x
  3. Step 3: Cross multiply
    4,999.22x = 7,768.41 × 7,768.41
  4. Step 4: Simplify right side
    4,999.22x = 60,348,135.67
  5. Step 5: Solve for x
    x = 60,348,135.67/4,999.22
  6. Step 6: Final answer
    x = 12,071.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.