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Finding the Third Proportional to 5,121.56 and 7,344.84

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Solution

The third proportional to 5,121.56 and 7,344.84 is: 10,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.56 : 7,344.84 = 7,344.84 : x
  2. Step 2: Convert to fraction form
    5,121.56/7,344.84 = 7,344.84/x
  3. Step 3: Cross multiply
    5,121.56x = 7,344.84 × 7,344.84
  4. Step 4: Simplify right side
    5,121.56x = 53,946,729.71
  5. Step 5: Solve for x
    x = 53,946,729.71/5,121.56
  6. Step 6: Final answer
    x = 10,533.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.