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Finding the Third Proportional to 38,088 and 82,532

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Solution

The third proportional to 38,088 and 82,532 is: 178,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,088 : 82,532 = 82,532 : x
  2. Step 2: Convert to fraction form
    38,088/82,532 = 82,532/x
  3. Step 3: Cross multiply
    38,088x = 82,532 × 82,532
  4. Step 4: Simplify right side
    38,088x = 6,811,531,024
  5. Step 5: Solve for x
    x = 6,811,531,024/38,088
  6. Step 6: Final answer
    x = 178,836.67

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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.