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Finding the Third Proportional to 34,563.50 and 50,711

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Solution

The third proportional to 34,563.50 and 50,711 is: 74,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,563.50 : 50,711 = 50,711 : x
  2. Step 2: Convert to fraction form
    34,563.50/50,711 = 50,711/x
  3. Step 3: Cross multiply
    34,563.50x = 50,711 × 50,711
  4. Step 4: Simplify right side
    34,563.50x = 2,571,605,521
  5. Step 5: Solve for x
    x = 2,571,605,521/34,563.50
  6. Step 6: Final answer
    x = 74,402.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.