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Finding the Third Proportional to 38,476.50 and 57,969

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Solution

The third proportional to 38,476.50 and 57,969 is: 87,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.50 : 57,969 = 57,969 : x
  2. Step 2: Convert to fraction form
    38,476.50/57,969 = 57,969/x
  3. Step 3: Cross multiply
    38,476.50x = 57,969 × 57,969
  4. Step 4: Simplify right side
    38,476.50x = 3,360,404,961
  5. Step 5: Solve for x
    x = 3,360,404,961/38,476.50
  6. Step 6: Final answer
    x = 87,336.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.