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Finding the Third Proportional to 17,946 and 38,559

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Solution

The third proportional to 17,946 and 38,559 is: 82,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946 : 38,559 = 38,559 : x
  2. Step 2: Convert to fraction form
    17,946/38,559 = 38,559/x
  3. Step 3: Cross multiply
    17,946x = 38,559 × 38,559
  4. Step 4: Simplify right side
    17,946x = 1,486,796,481
  5. Step 5: Solve for x
    x = 1,486,796,481/17,946
  6. Step 6: Final answer
    x = 82,848.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.