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Finding the Third Proportional to 25,908.50 and 38,315.75

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Solution

The third proportional to 25,908.50 and 38,315.75 is: 56,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,908.50 : 38,315.75 = 38,315.75 : x
  2. Step 2: Convert to fraction form
    25,908.50/38,315.75 = 38,315.75/x
  3. Step 3: Cross multiply
    25,908.50x = 38,315.75 × 38,315.75
  4. Step 4: Simplify right side
    25,908.50x = 1,468,096,698.06
  5. Step 5: Solve for x
    x = 1,468,096,698.06/25,908.50
  6. Step 6: Final answer
    x = 56,664.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.