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Finding the Third Proportional to 5,106.75 and 6,512.25

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Solution

The third proportional to 5,106.75 and 6,512.25 is: 8,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.75 : 6,512.25 = 6,512.25 : x
  2. Step 2: Convert to fraction form
    5,106.75/6,512.25 = 6,512.25/x
  3. Step 3: Cross multiply
    5,106.75x = 6,512.25 × 6,512.25
  4. Step 4: Simplify right side
    5,106.75x = 42,409,400.06
  5. Step 5: Solve for x
    x = 42,409,400.06/5,106.75
  6. Step 6: Final answer
    x = 8,304.58

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.