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Finding the Third Proportional to 38,953 and 84,530

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Solution

The third proportional to 38,953 and 84,530 is: 183,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,953 : 84,530 = 84,530 : x
  2. Step 2: Convert to fraction form
    38,953/84,530 = 84,530/x
  3. Step 3: Cross multiply
    38,953x = 84,530 × 84,530
  4. Step 4: Simplify right side
    38,953x = 7,145,320,900
  5. Step 5: Solve for x
    x = 7,145,320,900/38,953
  6. Step 6: Final answer
    x = 183,434.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.