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Finding the Third Proportional to 4,619.53 and 7,100.16

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Solution

The third proportional to 4,619.53 and 7,100.16 is: 10,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.53 : 7,100.16 = 7,100.16 : x
  2. Step 2: Convert to fraction form
    4,619.53/7,100.16 = 7,100.16/x
  3. Step 3: Cross multiply
    4,619.53x = 7,100.16 × 7,100.16
  4. Step 4: Simplify right side
    4,619.53x = 50,412,218.77
  5. Step 5: Solve for x
    x = 50,412,218.77/4,619.53
  6. Step 6: Final answer
    x = 10,912.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.