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Finding the Third Proportional to 25,434 and 37,719

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Solution

The third proportional to 25,434 and 37,719 is: 55,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434 : 37,719 = 37,719 : x
  2. Step 2: Convert to fraction form
    25,434/37,719 = 37,719/x
  3. Step 3: Cross multiply
    25,434x = 37,719 × 37,719
  4. Step 4: Simplify right side
    25,434x = 1,422,722,961
  5. Step 5: Solve for x
    x = 1,422,722,961/25,434
  6. Step 6: Final answer
    x = 55,937.84

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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.