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Finding the Third Proportional to 1,275.75 and 2,669.20

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Solution

The third proportional to 1,275.75 and 2,669.20 is: 5,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.75 : 2,669.20 = 2,669.20 : x
  2. Step 2: Convert to fraction form
    1,275.75/2,669.20 = 2,669.20/x
  3. Step 3: Cross multiply
    1,275.75x = 2,669.20 × 2,669.20
  4. Step 4: Simplify right side
    1,275.75x = 7,124,645.32
  5. Step 5: Solve for x
    x = 7,124,645.32/1,275.75
  6. Step 6: Final answer
    x = 5,584.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.