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Finding the Third Proportional to 38,458 and 83,477

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Solution

The third proportional to 38,458 and 83,477 is: 181,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458 : 83,477 = 83,477 : x
  2. Step 2: Convert to fraction form
    38,458/83,477 = 83,477/x
  3. Step 3: Cross multiply
    38,458x = 83,477 × 83,477
  4. Step 4: Simplify right side
    38,458x = 6,968,409,529
  5. Step 5: Solve for x
    x = 6,968,409,529/38,458
  6. Step 6: Final answer
    x = 181,195.32

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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.