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Finding the Third Proportional to 38,840.50 and 85,092

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Solution

The third proportional to 38,840.50 and 85,092 is: 186,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,840.50 : 85,092 = 85,092 : x
  2. Step 2: Convert to fraction form
    38,840.50/85,092 = 85,092/x
  3. Step 3: Cross multiply
    38,840.50x = 85,092 × 85,092
  4. Step 4: Simplify right side
    38,840.50x = 7,240,648,464
  5. Step 5: Solve for x
    x = 7,240,648,464/38,840.50
  6. Step 6: Final answer
    x = 186,420.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.