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Finding the Third Proportional to 6,346.69 and 8,577.56

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Solution

The third proportional to 6,346.69 and 8,577.56 is: 11,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.69 : 8,577.56 = 8,577.56 : x
  2. Step 2: Convert to fraction form
    6,346.69/8,577.56 = 8,577.56/x
  3. Step 3: Cross multiply
    6,346.69x = 8,577.56 × 8,577.56
  4. Step 4: Simplify right side
    6,346.69x = 73,574,578.44
  5. Step 5: Solve for x
    x = 73,574,578.44/6,346.69
  6. Step 6: Final answer
    x = 11,592.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.