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Finding the Third Proportional to 24,950 and 34,185

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Solution

The third proportional to 24,950 and 34,185 is: 46,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950 : 34,185 = 34,185 : x
  2. Step 2: Convert to fraction form
    24,950/34,185 = 34,185/x
  3. Step 3: Cross multiply
    24,950x = 34,185 × 34,185
  4. Step 4: Simplify right side
    24,950x = 1,168,614,225
  5. Step 5: Solve for x
    x = 1,168,614,225/24,950
  6. Step 6: Final answer
    x = 46,838.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.