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Finding the Third Proportional to 4,406.63 and 6,042.38

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Solution

The third proportional to 4,406.63 and 6,042.38 is: 8,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.63 : 6,042.38 = 6,042.38 : x
  2. Step 2: Convert to fraction form
    4,406.63/6,042.38 = 6,042.38/x
  3. Step 3: Cross multiply
    4,406.63x = 6,042.38 × 6,042.38
  4. Step 4: Simplify right side
    4,406.63x = 36,510,295.64
  5. Step 5: Solve for x
    x = 36,510,295.64/4,406.63
  6. Step 6: Final answer
    x = 8,285.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.