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Finding the Third Proportional to 23,950 and 52,429

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Solution

The third proportional to 23,950 and 52,429 is: 114,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,950 : 52,429 = 52,429 : x
  2. Step 2: Convert to fraction form
    23,950/52,429 = 52,429/x
  3. Step 3: Cross multiply
    23,950x = 52,429 × 52,429
  4. Step 4: Simplify right side
    23,950x = 2,748,800,041
  5. Step 5: Solve for x
    x = 2,748,800,041/23,950
  6. Step 6: Final answer
    x = 114,772.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.