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Finding the Third Proportional to 2,880 and 6,615.75

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Solution

The third proportional to 2,880 and 6,615.75 is: 15,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880 : 6,615.75 = 6,615.75 : x
  2. Step 2: Convert to fraction form
    2,880/6,615.75 = 6,615.75/x
  3. Step 3: Cross multiply
    2,880x = 6,615.75 × 6,615.75
  4. Step 4: Simplify right side
    2,880x = 43,768,148.06
  5. Step 5: Solve for x
    x = 43,768,148.06/2,880
  6. Step 6: Final answer
    x = 15,197.27

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.