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Finding the Third Proportional to 17,319 and 37,929

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Solution

The third proportional to 17,319 and 37,929 is: 83,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,319 : 37,929 = 37,929 : x
  2. Step 2: Convert to fraction form
    17,319/37,929 = 37,929/x
  3. Step 3: Cross multiply
    17,319x = 37,929 × 37,929
  4. Step 4: Simplify right side
    17,319x = 1,438,609,041
  5. Step 5: Solve for x
    x = 1,438,609,041/17,319
  6. Step 6: Final answer
    x = 83,065.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.