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Finding the Third Proportional to 34,107.75 and 47,363.06

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Solution

The third proportional to 34,107.75 and 47,363.06 is: 65,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,107.75 : 47,363.06 = 47,363.06 : x
  2. Step 2: Convert to fraction form
    34,107.75/47,363.06 = 47,363.06/x
  3. Step 3: Cross multiply
    34,107.75x = 47,363.06 × 47,363.06
  4. Step 4: Simplify right side
    34,107.75x = 2,243,259,689.38
  5. Step 5: Solve for x
    x = 2,243,259,689.38/34,107.75
  6. Step 6: Final answer
    x = 65,769.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.