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Finding the Third Proportional to 2,521.24 and 2,751.90

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Solution

The third proportional to 2,521.24 and 2,751.90 is: 3,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.24 : 2,751.90 = 2,751.90 : x
  2. Step 2: Convert to fraction form
    2,521.24/2,751.90 = 2,751.90/x
  3. Step 3: Cross multiply
    2,521.24x = 2,751.90 × 2,751.90
  4. Step 4: Simplify right side
    2,521.24x = 7,572,974.57
  5. Step 5: Solve for x
    x = 7,572,974.57/2,521.24
  6. Step 6: Final answer
    x = 3,003.67

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.