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Finding the Third Proportional to 4,179.94 and 5,436.28

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Solution

The third proportional to 4,179.94 and 5,436.28 is: 7,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.94 : 5,436.28 = 5,436.28 : x
  2. Step 2: Convert to fraction form
    4,179.94/5,436.28 = 5,436.28/x
  3. Step 3: Cross multiply
    4,179.94x = 5,436.28 × 5,436.28
  4. Step 4: Simplify right side
    4,179.94x = 29,553,153.83
  5. Step 5: Solve for x
    x = 29,553,153.83/4,179.94
  6. Step 6: Final answer
    x = 7,070.24

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.