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Finding the Third Proportional to 10,703 and 23,503

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Solution

The third proportional to 10,703 and 23,503 is: 51,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703 : 23,503 = 23,503 : x
  2. Step 2: Convert to fraction form
    10,703/23,503 = 23,503/x
  3. Step 3: Cross multiply
    10,703x = 23,503 × 23,503
  4. Step 4: Simplify right side
    10,703x = 552,391,009
  5. Step 5: Solve for x
    x = 552,391,009/10,703
  6. Step 6: Final answer
    x = 51,610.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.