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Finding the Third Proportional to 10,765.13 and 16,147.13

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Solution

The third proportional to 10,765.13 and 16,147.13 is: 24,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.13 : 16,147.13 = 16,147.13 : x
  2. Step 2: Convert to fraction form
    10,765.13/16,147.13 = 16,147.13/x
  3. Step 3: Cross multiply
    10,765.13x = 16,147.13 × 16,147.13
  4. Step 4: Simplify right side
    10,765.13x = 260,729,645.77
  5. Step 5: Solve for x
    x = 260,729,645.77/10,765.13
  6. Step 6: Final answer
    x = 24,219.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.