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Finding the Third Proportional to 25,378.31 and 36,072.84

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Solution

The third proportional to 25,378.31 and 36,072.84 is: 51,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.31 : 36,072.84 = 36,072.84 : x
  2. Step 2: Convert to fraction form
    25,378.31/36,072.84 = 36,072.84/x
  3. Step 3: Cross multiply
    25,378.31x = 36,072.84 × 36,072.84
  4. Step 4: Simplify right side
    25,378.31x = 1,301,250,056.21
  5. Step 5: Solve for x
    x = 1,301,250,056.21/25,378.31
  6. Step 6: Final answer
    x = 51,274.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.