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Finding the Third Proportional to 4,922.78 and 7,475.19

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Solution

The third proportional to 4,922.78 and 7,475.19 is: 11,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.78 : 7,475.19 = 7,475.19 : x
  2. Step 2: Convert to fraction form
    4,922.78/7,475.19 = 7,475.19/x
  3. Step 3: Cross multiply
    4,922.78x = 7,475.19 × 7,475.19
  4. Step 4: Simplify right side
    4,922.78x = 55,878,428.16
  5. Step 5: Solve for x
    x = 55,878,428.16/4,922.78
  6. Step 6: Final answer
    x = 11,350.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.