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Finding the Third Proportional to 1,029.94 and 2,196.56

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Solution

The third proportional to 1,029.94 and 2,196.56 is: 4,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.94 : 2,196.56 = 2,196.56 : x
  2. Step 2: Convert to fraction form
    1,029.94/2,196.56 = 2,196.56/x
  3. Step 3: Cross multiply
    1,029.94x = 2,196.56 × 2,196.56
  4. Step 4: Simplify right side
    1,029.94x = 4,824,886.82
  5. Step 5: Solve for x
    x = 4,824,886.82/1,029.94
  6. Step 6: Final answer
    x = 4,684.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.