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Finding the Third Proportional to 23,605 and 51,503

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Solution

The third proportional to 23,605 and 51,503 is: 112,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,605 : 51,503 = 51,503 : x
  2. Step 2: Convert to fraction form
    23,605/51,503 = 51,503/x
  3. Step 3: Cross multiply
    23,605x = 51,503 × 51,503
  4. Step 4: Simplify right side
    23,605x = 2,652,559,009
  5. Step 5: Solve for x
    x = 2,652,559,009/23,605
  6. Step 6: Final answer
    x = 112,372.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.