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Finding the Third Proportional to 24,617 and 36,950

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Solution

The third proportional to 24,617 and 36,950 is: 55,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617 : 36,950 = 36,950 : x
  2. Step 2: Convert to fraction form
    24,617/36,950 = 36,950/x
  3. Step 3: Cross multiply
    24,617x = 36,950 × 36,950
  4. Step 4: Simplify right side
    24,617x = 1,365,302,500
  5. Step 5: Solve for x
    x = 1,365,302,500/24,617
  6. Step 6: Final answer
    x = 55,461.77

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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.