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Finding the Third Proportional to 2,283.44 and 4,989.63

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Solution

The third proportional to 2,283.44 and 4,989.63 is: 10,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.44 : 4,989.63 = 4,989.63 : x
  2. Step 2: Convert to fraction form
    2,283.44/4,989.63 = 4,989.63/x
  3. Step 3: Cross multiply
    2,283.44x = 4,989.63 × 4,989.63
  4. Step 4: Simplify right side
    2,283.44x = 24,896,357.64
  5. Step 5: Solve for x
    x = 24,896,357.64/2,283.44
  6. Step 6: Final answer
    x = 10,903.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.