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Finding the Third Proportional to 14,610 and 25,962

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Solution

The third proportional to 14,610 and 25,962 is: 46,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610 : 25,962 = 25,962 : x
  2. Step 2: Convert to fraction form
    14,610/25,962 = 25,962/x
  3. Step 3: Cross multiply
    14,610x = 25,962 × 25,962
  4. Step 4: Simplify right side
    14,610x = 674,025,444
  5. Step 5: Solve for x
    x = 674,025,444/14,610
  6. Step 6: Final answer
    x = 46,134.53

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.