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Finding the Third Proportional to 2,529.56 and 5,521.08

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Solution

The third proportional to 2,529.56 and 5,521.08 is: 12,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.56 : 5,521.08 = 5,521.08 : x
  2. Step 2: Convert to fraction form
    2,529.56/5,521.08 = 5,521.08/x
  3. Step 3: Cross multiply
    2,529.56x = 5,521.08 × 5,521.08
  4. Step 4: Simplify right side
    2,529.56x = 30,482,303.66
  5. Step 5: Solve for x
    x = 30,482,303.66/2,529.56
  6. Step 6: Final answer
    x = 12,050.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.