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Finding the Third Proportional to 14,096 and 25,132

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Solution

The third proportional to 14,096 and 25,132 is: 44,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096 : 25,132 = 25,132 : x
  2. Step 2: Convert to fraction form
    14,096/25,132 = 25,132/x
  3. Step 3: Cross multiply
    14,096x = 25,132 × 25,132
  4. Step 4: Simplify right side
    14,096x = 631,617,424
  5. Step 5: Solve for x
    x = 631,617,424/14,096
  6. Step 6: Final answer
    x = 44,808.27

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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.