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Finding the Third Proportional to 25,624 and 36,036

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Solution

The third proportional to 25,624 and 36,036 is: 50,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,624 : 36,036 = 36,036 : x
  2. Step 2: Convert to fraction form
    25,624/36,036 = 36,036/x
  3. Step 3: Cross multiply
    25,624x = 36,036 × 36,036
  4. Step 4: Simplify right side
    25,624x = 1,298,593,296
  5. Step 5: Solve for x
    x = 1,298,593,296/25,624
  6. Step 6: Final answer
    x = 50,678.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.