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Finding the Third Proportional to 25,923.75 and 38,034.75

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Solution

The third proportional to 25,923.75 and 38,034.75 is: 55,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,923.75 : 38,034.75 = 38,034.75 : x
  2. Step 2: Convert to fraction form
    25,923.75/38,034.75 = 38,034.75/x
  3. Step 3: Cross multiply
    25,923.75x = 38,034.75 × 38,034.75
  4. Step 4: Simplify right side
    25,923.75x = 1,446,642,207.56
  5. Step 5: Solve for x
    x = 1,446,642,207.56/25,923.75
  6. Step 6: Final answer
    x = 55,803.74

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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.