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Finding the Third Proportional to 1,323.75 and 2,882.63

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Solution

The third proportional to 1,323.75 and 2,882.63 is: 6,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.75 : 2,882.63 = 2,882.63 : x
  2. Step 2: Convert to fraction form
    1,323.75/2,882.63 = 2,882.63/x
  3. Step 3: Cross multiply
    1,323.75x = 2,882.63 × 2,882.63
  4. Step 4: Simplify right side
    1,323.75x = 8,309,526.89
  5. Step 5: Solve for x
    x = 8,309,526.89/1,323.75
  6. Step 6: Final answer
    x = 6,277.26

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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.