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Finding the Third Proportional to 38,208.38 and 63,669.38

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Solution

The third proportional to 38,208.38 and 63,669.38 is: 106,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208.38 : 63,669.38 = 63,669.38 : x
  2. Step 2: Convert to fraction form
    38,208.38/63,669.38 = 63,669.38/x
  3. Step 3: Cross multiply
    38,208.38x = 63,669.38 × 63,669.38
  4. Step 4: Simplify right side
    38,208.38x = 4,053,789,312.89
  5. Step 5: Solve for x
    x = 4,053,789,312.89/38,208.38
  6. Step 6: Final answer
    x = 106,096.88

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.