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Finding the Third Proportional to 10,880.44 and 14,679.56

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Solution

The third proportional to 10,880.44 and 14,679.56 is: 19,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.44 : 14,679.56 = 14,679.56 : x
  2. Step 2: Convert to fraction form
    10,880.44/14,679.56 = 14,679.56/x
  3. Step 3: Cross multiply
    10,880.44x = 14,679.56 × 14,679.56
  4. Step 4: Simplify right side
    10,880.44x = 215,489,555.19
  5. Step 5: Solve for x
    x = 215,489,555.19/10,880.44
  6. Step 6: Final answer
    x = 19,805.23

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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.