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Finding the Third Proportional to 10,627.45 and 14,283.84

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Solution

The third proportional to 10,627.45 and 14,283.84 is: 19,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.45 : 14,283.84 = 14,283.84 : x
  2. Step 2: Convert to fraction form
    10,627.45/14,283.84 = 14,283.84/x
  3. Step 3: Cross multiply
    10,627.45x = 14,283.84 × 14,283.84
  4. Step 4: Simplify right side
    10,627.45x = 204,028,192.27
  5. Step 5: Solve for x
    x = 204,028,192.27/10,627.45
  6. Step 6: Final answer
    x = 19,198.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.