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Finding the Third Proportional to 38,016 and 62,896.50

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Solution

The third proportional to 38,016 and 62,896.50 is: 104,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 62,896.50 = 62,896.50 : x
  2. Step 2: Convert to fraction form
    38,016/62,896.50 = 62,896.50/x
  3. Step 3: Cross multiply
    38,016x = 62,896.50 × 62,896.50
  4. Step 4: Simplify right side
    38,016x = 3,955,969,712.25
  5. Step 5: Solve for x
    x = 3,955,969,712.25/38,016
  6. Step 6: Final answer
    x = 104,060.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.