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Finding the Third Proportional to 25,480 and 37,932

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Solution

The third proportional to 25,480 and 37,932 is: 56,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,480 : 37,932 = 37,932 : x
  2. Step 2: Convert to fraction form
    25,480/37,932 = 37,932/x
  3. Step 3: Cross multiply
    25,480x = 37,932 × 37,932
  4. Step 4: Simplify right side
    25,480x = 1,438,836,624
  5. Step 5: Solve for x
    x = 1,438,836,624/25,480
  6. Step 6: Final answer
    x = 56,469.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.