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Finding the Third Proportional to 38,073 and 84,306

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Solution

The third proportional to 38,073 and 84,306 is: 186,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,073 : 84,306 = 84,306 : x
  2. Step 2: Convert to fraction form
    38,073/84,306 = 84,306/x
  3. Step 3: Cross multiply
    38,073x = 84,306 × 84,306
  4. Step 4: Simplify right side
    38,073x = 7,107,501,636
  5. Step 5: Solve for x
    x = 7,107,501,636/38,073
  6. Step 6: Final answer
    x = 186,680.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.