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Finding the Third Proportional to 38,485.50 and 83,937

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Solution

The third proportional to 38,485.50 and 83,937 is: 183,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,485.50 : 83,937 = 83,937 : x
  2. Step 2: Convert to fraction form
    38,485.50/83,937 = 83,937/x
  3. Step 3: Cross multiply
    38,485.50x = 83,937 × 83,937
  4. Step 4: Simplify right side
    38,485.50x = 7,045,419,969
  5. Step 5: Solve for x
    x = 7,045,419,969/38,485.50
  6. Step 6: Final answer
    x = 183,066.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.