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Finding the Third Proportional to 10,949 and 23,418.50

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Solution

The third proportional to 10,949 and 23,418.50 is: 50,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949 : 23,418.50 = 23,418.50 : x
  2. Step 2: Convert to fraction form
    10,949/23,418.50 = 23,418.50/x
  3. Step 3: Cross multiply
    10,949x = 23,418.50 × 23,418.50
  4. Step 4: Simplify right side
    10,949x = 548,426,142.25
  5. Step 5: Solve for x
    x = 548,426,142.25/10,949
  6. Step 6: Final answer
    x = 50,089.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.