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Finding the Third Proportional to 4,851.05 and 7,116.84

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Solution

The third proportional to 4,851.05 and 7,116.84 is: 10,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.05 : 7,116.84 = 7,116.84 : x
  2. Step 2: Convert to fraction form
    4,851.05/7,116.84 = 7,116.84/x
  3. Step 3: Cross multiply
    4,851.05x = 7,116.84 × 7,116.84
  4. Step 4: Simplify right side
    4,851.05x = 50,649,464.96
  5. Step 5: Solve for x
    x = 50,649,464.96/4,851.05
  6. Step 6: Final answer
    x = 10,440.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.