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Finding the Third Proportional to 41,673 and 59,548.50

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Solution

The third proportional to 41,673 and 59,548.50 is: 85,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,673 : 59,548.50 = 59,548.50 : x
  2. Step 2: Convert to fraction form
    41,673/59,548.50 = 59,548.50/x
  3. Step 3: Cross multiply
    41,673x = 59,548.50 × 59,548.50
  4. Step 4: Simplify right side
    41,673x = 3,546,023,852.25
  5. Step 5: Solve for x
    x = 3,546,023,852.25/41,673
  6. Step 6: Final answer
    x = 85,091.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.