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Finding the Third Proportional to 10,627.45 and 17,325.14

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Solution

The third proportional to 10,627.45 and 17,325.14 is: 28,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.45 : 17,325.14 = 17,325.14 : x
  2. Step 2: Convert to fraction form
    10,627.45/17,325.14 = 17,325.14/x
  3. Step 3: Cross multiply
    10,627.45x = 17,325.14 × 17,325.14
  4. Step 4: Simplify right side
    10,627.45x = 300,160,497.68
  5. Step 5: Solve for x
    x = 300,160,497.68/10,627.45
  6. Step 6: Final answer
    x = 28,243.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.