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Finding the Third Proportional to 25,624 and 54,288

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Solution

The third proportional to 25,624 and 54,288 is: 115,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,624 : 54,288 = 54,288 : x
  2. Step 2: Convert to fraction form
    25,624/54,288 = 54,288/x
  3. Step 3: Cross multiply
    25,624x = 54,288 × 54,288
  4. Step 4: Simplify right side
    25,624x = 2,947,186,944
  5. Step 5: Solve for x
    x = 2,947,186,944/25,624
  6. Step 6: Final answer
    x = 115,016.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.