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Finding the Third Proportional to 38,413 and 83,558

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Solution

The third proportional to 38,413 and 83,558 is: 181,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413 : 83,558 = 83,558 : x
  2. Step 2: Convert to fraction form
    38,413/83,558 = 83,558/x
  3. Step 3: Cross multiply
    38,413x = 83,558 × 83,558
  4. Step 4: Simplify right side
    38,413x = 6,981,939,364
  5. Step 5: Solve for x
    x = 6,981,939,364/38,413
  6. Step 6: Final answer
    x = 181,759.80

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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.