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Finding the Third Proportional to 25,070 and 33,278.25

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Solution

The third proportional to 25,070 and 33,278.25 is: 44,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,070 : 33,278.25 = 33,278.25 : x
  2. Step 2: Convert to fraction form
    25,070/33,278.25 = 33,278.25/x
  3. Step 3: Cross multiply
    25,070x = 33,278.25 × 33,278.25
  4. Step 4: Simplify right side
    25,070x = 1,107,441,923.06
  5. Step 5: Solve for x
    x = 1,107,441,923.06/25,070
  6. Step 6: Final answer
    x = 44,173.99

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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.