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Finding the Third Proportional to 17,307 and 37,391.63

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Solution

The third proportional to 17,307 and 37,391.63 is: 80,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307 : 37,391.63 = 37,391.63 : x
  2. Step 2: Convert to fraction form
    17,307/37,391.63 = 37,391.63/x
  3. Step 3: Cross multiply
    17,307x = 37,391.63 × 37,391.63
  4. Step 4: Simplify right side
    17,307x = 1,398,133,620.14
  5. Step 5: Solve for x
    x = 1,398,133,620.14/17,307
  6. Step 6: Final answer
    x = 80,784.28

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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.