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Finding the Third Proportional to 40,999.50 and 58,016.25

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Solution

The third proportional to 40,999.50 and 58,016.25 is: 82,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,999.50 : 58,016.25 = 58,016.25 : x
  2. Step 2: Convert to fraction form
    40,999.50/58,016.25 = 58,016.25/x
  3. Step 3: Cross multiply
    40,999.50x = 58,016.25 × 58,016.25
  4. Step 4: Simplify right side
    40,999.50x = 3,365,885,264.06
  5. Step 5: Solve for x
    x = 3,365,885,264.06/40,999.50
  6. Step 6: Final answer
    x = 82,095.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.