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Finding the Third Proportional to 25,758 and 34,350.75

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Solution

The third proportional to 25,758 and 34,350.75 is: 45,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758 : 34,350.75 = 34,350.75 : x
  2. Step 2: Convert to fraction form
    25,758/34,350.75 = 34,350.75/x
  3. Step 3: Cross multiply
    25,758x = 34,350.75 × 34,350.75
  4. Step 4: Simplify right side
    25,758x = 1,179,974,025.56
  5. Step 5: Solve for x
    x = 1,179,974,025.56/25,758
  6. Step 6: Final answer
    x = 45,810.00

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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.