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Finding the Third Proportional to 38,310 and 82,236

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Solution

The third proportional to 38,310 and 82,236 is: 176,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,310 : 82,236 = 82,236 : x
  2. Step 2: Convert to fraction form
    38,310/82,236 = 82,236/x
  3. Step 3: Cross multiply
    38,310x = 82,236 × 82,236
  4. Step 4: Simplify right side
    38,310x = 6,762,759,696
  5. Step 5: Solve for x
    x = 6,762,759,696/38,310
  6. Step 6: Final answer
    x = 176,527.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.