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Finding the Third Proportional to 10,763 and 16,206.50

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Solution

The third proportional to 10,763 and 16,206.50 is: 24,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763 : 16,206.50 = 16,206.50 : x
  2. Step 2: Convert to fraction form
    10,763/16,206.50 = 16,206.50/x
  3. Step 3: Cross multiply
    10,763x = 16,206.50 × 16,206.50
  4. Step 4: Simplify right side
    10,763x = 262,650,642.25
  5. Step 5: Solve for x
    x = 262,650,642.25/10,763
  6. Step 6: Final answer
    x = 24,403.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.