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Finding the Third Proportional to 24,575 and 36,823

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Solution

The third proportional to 24,575 and 36,823 is: 55,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575 : 36,823 = 36,823 : x
  2. Step 2: Convert to fraction form
    24,575/36,823 = 36,823/x
  3. Step 3: Cross multiply
    24,575x = 36,823 × 36,823
  4. Step 4: Simplify right side
    24,575x = 1,355,933,329
  5. Step 5: Solve for x
    x = 1,355,933,329/24,575
  6. Step 6: Final answer
    x = 55,175.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.