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Finding the Third Proportional to 4,977.44 and 7,768.63

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Solution

The third proportional to 4,977.44 and 7,768.63 is: 12,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.44 : 7,768.63 = 7,768.63 : x
  2. Step 2: Convert to fraction form
    4,977.44/7,768.63 = 7,768.63/x
  3. Step 3: Cross multiply
    4,977.44x = 7,768.63 × 7,768.63
  4. Step 4: Simplify right side
    4,977.44x = 60,351,534.39
  5. Step 5: Solve for x
    x = 60,351,534.39/4,977.44
  6. Step 6: Final answer
    x = 12,125.02

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.