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Finding the Third Proportional to 1,406.47 and 3,029.34

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Solution

The third proportional to 1,406.47 and 3,029.34 is: 6,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.47 : 3,029.34 = 3,029.34 : x
  2. Step 2: Convert to fraction form
    1,406.47/3,029.34 = 3,029.34/x
  3. Step 3: Cross multiply
    1,406.47x = 3,029.34 × 3,029.34
  4. Step 4: Simplify right side
    1,406.47x = 9,176,923.56
  5. Step 5: Solve for x
    x = 9,176,923.56/1,406.47
  6. Step 6: Final answer
    x = 6,524.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.