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Finding the Third Proportional to 1,283.63 and 2,680.88

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Solution

The third proportional to 1,283.63 and 2,680.88 is: 5,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.63 : 2,680.88 = 2,680.88 : x
  2. Step 2: Convert to fraction form
    1,283.63/2,680.88 = 2,680.88/x
  3. Step 3: Cross multiply
    1,283.63x = 2,680.88 × 2,680.88
  4. Step 4: Simplify right side
    1,283.63x = 7,187,090.77
  5. Step 5: Solve for x
    x = 7,187,090.77/1,283.63
  6. Step 6: Final answer
    x = 5,599.06

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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.