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Finding the Third Proportional to 38,065.50 and 87,732

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Solution

The third proportional to 38,065.50 and 87,732 is: 202,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,065.50 : 87,732 = 87,732 : x
  2. Step 2: Convert to fraction form
    38,065.50/87,732 = 87,732/x
  3. Step 3: Cross multiply
    38,065.50x = 87,732 × 87,732
  4. Step 4: Simplify right side
    38,065.50x = 7,696,903,824
  5. Step 5: Solve for x
    x = 7,696,903,824/38,065.50
  6. Step 6: Final answer
    x = 202,201.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.