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Finding the Third Proportional to 17,578 and 38,312

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Solution

The third proportional to 17,578 and 38,312 is: 83,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578 : 38,312 = 38,312 : x
  2. Step 2: Convert to fraction form
    17,578/38,312 = 38,312/x
  3. Step 3: Cross multiply
    17,578x = 38,312 × 38,312
  4. Step 4: Simplify right side
    17,578x = 1,467,809,344
  5. Step 5: Solve for x
    x = 1,467,809,344/17,578
  6. Step 6: Final answer
    x = 83,502.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.