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Finding the Third Proportional to 38,477 and 82,429

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Solution

The third proportional to 38,477 and 82,429 is: 176,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477 : 82,429 = 82,429 : x
  2. Step 2: Convert to fraction form
    38,477/82,429 = 82,429/x
  3. Step 3: Cross multiply
    38,477x = 82,429 × 82,429
  4. Step 4: Simplify right side
    38,477x = 6,794,540,041
  5. Step 5: Solve for x
    x = 6,794,540,041/38,477
  6. Step 6: Final answer
    x = 176,587.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.