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Finding the Third Proportional to 39,827 and 87,304

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Solution

The third proportional to 39,827 and 87,304 is: 191,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,827 : 87,304 = 87,304 : x
  2. Step 2: Convert to fraction form
    39,827/87,304 = 87,304/x
  3. Step 3: Cross multiply
    39,827x = 87,304 × 87,304
  4. Step 4: Simplify right side
    39,827x = 7,621,988,416
  5. Step 5: Solve for x
    x = 7,621,988,416/39,827
  6. Step 6: Final answer
    x = 191,377.42

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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.