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Finding the Third Proportional to 25,812 and 37,962

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Solution

The third proportional to 25,812 and 37,962 is: 55,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812 : 37,962 = 37,962 : x
  2. Step 2: Convert to fraction form
    25,812/37,962 = 37,962/x
  3. Step 3: Cross multiply
    25,812x = 37,962 × 37,962
  4. Step 4: Simplify right side
    25,812x = 1,441,113,444
  5. Step 5: Solve for x
    x = 1,441,113,444/25,812
  6. Step 6: Final answer
    x = 55,831.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.