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Finding the Third Proportional to 6,669 and 9,578.25

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Solution

The third proportional to 6,669 and 9,578.25 is: 13,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669 : 9,578.25 = 9,578.25 : x
  2. Step 2: Convert to fraction form
    6,669/9,578.25 = 9,578.25/x
  3. Step 3: Cross multiply
    6,669x = 9,578.25 × 9,578.25
  4. Step 4: Simplify right side
    6,669x = 91,742,873.06
  5. Step 5: Solve for x
    x = 91,742,873.06/6,669
  6. Step 6: Final answer
    x = 13,756.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.