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Finding the Third Proportional to 25,624 and 55,760

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Solution

The third proportional to 25,624 and 55,760 is: 121,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,624 : 55,760 = 55,760 : x
  2. Step 2: Convert to fraction form
    25,624/55,760 = 55,760/x
  3. Step 3: Cross multiply
    25,624x = 55,760 × 55,760
  4. Step 4: Simplify right side
    25,624x = 3,109,177,600
  5. Step 5: Solve for x
    x = 3,109,177,600/25,624
  6. Step 6: Final answer
    x = 121,338.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.