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Finding the Third Proportional to 42,804 and 56,811

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Solution

The third proportional to 42,804 and 56,811 is: 75,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,804 : 56,811 = 56,811 : x
  2. Step 2: Convert to fraction form
    42,804/56,811 = 56,811/x
  3. Step 3: Cross multiply
    42,804x = 56,811 × 56,811
  4. Step 4: Simplify right side
    42,804x = 3,227,489,721
  5. Step 5: Solve for x
    x = 3,227,489,721/42,804
  6. Step 6: Final answer
    x = 75,401.59

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.