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Finding the Third Proportional to 7,165.50 and 17,427

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Solution

The third proportional to 7,165.50 and 17,427 is: 42,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.50 : 17,427 = 17,427 : x
  2. Step 2: Convert to fraction form
    7,165.50/17,427 = 17,427/x
  3. Step 3: Cross multiply
    7,165.50x = 17,427 × 17,427
  4. Step 4: Simplify right side
    7,165.50x = 303,700,329
  5. Step 5: Solve for x
    x = 303,700,329/7,165.50
  6. Step 6: Final answer
    x = 42,383.69

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.