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Finding the Third Proportional to 2,743.88 and 6,475.78

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Solution

The third proportional to 2,743.88 and 6,475.78 is: 15,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.88 : 6,475.78 = 6,475.78 : x
  2. Step 2: Convert to fraction form
    2,743.88/6,475.78 = 6,475.78/x
  3. Step 3: Cross multiply
    2,743.88x = 6,475.78 × 6,475.78
  4. Step 4: Simplify right side
    2,743.88x = 41,935,742.80
  5. Step 5: Solve for x
    x = 41,935,742.80/2,743.88
  6. Step 6: Final answer
    x = 15,283.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.