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Finding the Third Proportional to 1,232.44 and 2,669.91

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Solution

The third proportional to 1,232.44 and 2,669.91 is: 5,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.44 : 2,669.91 = 2,669.91 : x
  2. Step 2: Convert to fraction form
    1,232.44/2,669.91 = 2,669.91/x
  3. Step 3: Cross multiply
    1,232.44x = 2,669.91 × 2,669.91
  4. Step 4: Simplify right side
    1,232.44x = 7,128,399.38
  5. Step 5: Solve for x
    x = 7,128,399.38/1,232.44
  6. Step 6: Final answer
    x = 5,783.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.