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Finding the Third Proportional to 11,763 and 18,916.50

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Solution

The third proportional to 11,763 and 18,916.50 is: 30,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763 : 18,916.50 = 18,916.50 : x
  2. Step 2: Convert to fraction form
    11,763/18,916.50 = 18,916.50/x
  3. Step 3: Cross multiply
    11,763x = 18,916.50 × 18,916.50
  4. Step 4: Simplify right side
    11,763x = 357,833,972.25
  5. Step 5: Solve for x
    x = 357,833,972.25/11,763
  6. Step 6: Final answer
    x = 30,420.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.