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Finding the Third Proportional to 3,946.25 and 6,126.88

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Solution

The third proportional to 3,946.25 and 6,126.88 is: 9,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.25 : 6,126.88 = 6,126.88 : x
  2. Step 2: Convert to fraction form
    3,946.25/6,126.88 = 6,126.88/x
  3. Step 3: Cross multiply
    3,946.25x = 6,126.88 × 6,126.88
  4. Step 4: Simplify right side
    3,946.25x = 37,538,597.27
  5. Step 5: Solve for x
    x = 37,538,597.27/3,946.25
  6. Step 6: Final answer
    x = 9,512.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.