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Finding the Third Proportional to 1,529.44 and 3,400.73

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Solution

The third proportional to 1,529.44 and 3,400.73 is: 7,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.44 : 3,400.73 = 3,400.73 : x
  2. Step 2: Convert to fraction form
    1,529.44/3,400.73 = 3,400.73/x
  3. Step 3: Cross multiply
    1,529.44x = 3,400.73 × 3,400.73
  4. Step 4: Simplify right side
    1,529.44x = 11,564,994.29
  5. Step 5: Solve for x
    x = 11,564,994.29/1,529.44
  6. Step 6: Final answer
    x = 7,561.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.