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Finding the Third Proportional to 30,338 and 63,096.50

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Solution

The third proportional to 30,338 and 63,096.50 is: 131,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338 : 63,096.50 = 63,096.50 : x
  2. Step 2: Convert to fraction form
    30,338/63,096.50 = 63,096.50/x
  3. Step 3: Cross multiply
    30,338x = 63,096.50 × 63,096.50
  4. Step 4: Simplify right side
    30,338x = 3,981,168,312.25
  5. Step 5: Solve for x
    x = 3,981,168,312.25/30,338
  6. Step 6: Final answer
    x = 131,227.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.