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Finding the Third Proportional to 3,048.26 and 6,534.42

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Solution

The third proportional to 3,048.26 and 6,534.42 is: 14,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.26 : 6,534.42 = 6,534.42 : x
  2. Step 2: Convert to fraction form
    3,048.26/6,534.42 = 6,534.42/x
  3. Step 3: Cross multiply
    3,048.26x = 6,534.42 × 6,534.42
  4. Step 4: Simplify right side
    3,048.26x = 42,698,669.24
  5. Step 5: Solve for x
    x = 42,698,669.24/3,048.26
  6. Step 6: Final answer
    x = 14,007.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.