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Finding the Third Proportional to 17,313 and 37,403

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Solution

The third proportional to 17,313 and 37,403 is: 80,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,313 : 37,403 = 37,403 : x
  2. Step 2: Convert to fraction form
    17,313/37,403 = 37,403/x
  3. Step 3: Cross multiply
    17,313x = 37,403 × 37,403
  4. Step 4: Simplify right side
    17,313x = 1,398,984,409
  5. Step 5: Solve for x
    x = 1,398,984,409/17,313
  6. Step 6: Final answer
    x = 80,805.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.