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Finding the Third Proportional to 17,325 and 40,487

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Solution

The third proportional to 17,325 and 40,487 is: 94,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,325 : 40,487 = 40,487 : x
  2. Step 2: Convert to fraction form
    17,325/40,487 = 40,487/x
  3. Step 3: Cross multiply
    17,325x = 40,487 × 40,487
  4. Step 4: Simplify right side
    17,325x = 1,639,197,169
  5. Step 5: Solve for x
    x = 1,639,197,169/17,325
  6. Step 6: Final answer
    x = 94,614.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.