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Finding the Third Proportional to 7,954.45 and 17,292.87

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Solution

The third proportional to 7,954.45 and 17,292.87 is: 37,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.45 : 17,292.87 = 17,292.87 : x
  2. Step 2: Convert to fraction form
    7,954.45/17,292.87 = 17,292.87/x
  3. Step 3: Cross multiply
    7,954.45x = 17,292.87 × 17,292.87
  4. Step 4: Simplify right side
    7,954.45x = 299,043,255.56
  5. Step 5: Solve for x
    x = 299,043,255.56/7,954.45
  6. Step 6: Final answer
    x = 37,594.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.