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Finding the Third Proportional to 41,973 and 58,684.50

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Solution

The third proportional to 41,973 and 58,684.50 is: 82,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,973 : 58,684.50 = 58,684.50 : x
  2. Step 2: Convert to fraction form
    41,973/58,684.50 = 58,684.50/x
  3. Step 3: Cross multiply
    41,973x = 58,684.50 × 58,684.50
  4. Step 4: Simplify right side
    41,973x = 3,443,870,540.25
  5. Step 5: Solve for x
    x = 3,443,870,540.25/41,973
  6. Step 6: Final answer
    x = 82,049.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.