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Finding the Third Proportional to 24,230 and 50,656

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Solution

The third proportional to 24,230 and 50,656 is: 105,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230 : 50,656 = 50,656 : x
  2. Step 2: Convert to fraction form
    24,230/50,656 = 50,656/x
  3. Step 3: Cross multiply
    24,230x = 50,656 × 50,656
  4. Step 4: Simplify right side
    24,230x = 2,566,030,336
  5. Step 5: Solve for x
    x = 2,566,030,336/24,230
  6. Step 6: Final answer
    x = 105,903.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.