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Finding the Third Proportional to 17,343 and 37,417

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Solution

The third proportional to 17,343 and 37,417 is: 80,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,343 : 37,417 = 37,417 : x
  2. Step 2: Convert to fraction form
    17,343/37,417 = 37,417/x
  3. Step 3: Cross multiply
    17,343x = 37,417 × 37,417
  4. Step 4: Simplify right side
    17,343x = 1,400,031,889
  5. Step 5: Solve for x
    x = 1,400,031,889/17,343
  6. Step 6: Final answer
    x = 80,726.05

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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.