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Finding the Third Proportional to 10,763 and 22,511

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Solution

The third proportional to 10,763 and 22,511 is: 47,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763 : 22,511 = 22,511 : x
  2. Step 2: Convert to fraction form
    10,763/22,511 = 22,511/x
  3. Step 3: Cross multiply
    10,763x = 22,511 × 22,511
  4. Step 4: Simplify right side
    10,763x = 506,745,121
  5. Step 5: Solve for x
    x = 506,745,121/10,763
  6. Step 6: Final answer
    x = 47,082.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.