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Finding the Third Proportional to 10,903 and 24,273.50

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Solution

The third proportional to 10,903 and 24,273.50 is: 54,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903 : 24,273.50 = 24,273.50 : x
  2. Step 2: Convert to fraction form
    10,903/24,273.50 = 24,273.50/x
  3. Step 3: Cross multiply
    10,903x = 24,273.50 × 24,273.50
  4. Step 4: Simplify right side
    10,903x = 589,202,802.25
  5. Step 5: Solve for x
    x = 589,202,802.25/10,903
  6. Step 6: Final answer
    x = 54,040.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.