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Finding the Third Proportional to 1,824.47 and 2,850.47

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Solution

The third proportional to 1,824.47 and 2,850.47 is: 4,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.47 : 2,850.47 = 2,850.47 : x
  2. Step 2: Convert to fraction form
    1,824.47/2,850.47 = 2,850.47/x
  3. Step 3: Cross multiply
    1,824.47x = 2,850.47 × 2,850.47
  4. Step 4: Simplify right side
    1,824.47x = 8,125,172.09
  5. Step 5: Solve for x
    x = 8,125,172.09/1,824.47
  6. Step 6: Final answer
    x = 4,453.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.