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Finding the Third Proportional to 4,942.27 and 7,904.67

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Solution

The third proportional to 4,942.27 and 7,904.67 is: 12,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.27 : 7,904.67 = 7,904.67 : x
  2. Step 2: Convert to fraction form
    4,942.27/7,904.67 = 7,904.67/x
  3. Step 3: Cross multiply
    4,942.27x = 7,904.67 × 7,904.67
  4. Step 4: Simplify right side
    4,942.27x = 62,483,837.45
  5. Step 5: Solve for x
    x = 62,483,837.45/4,942.27
  6. Step 6: Final answer
    x = 12,642.75

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.