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Finding the Third Proportional to 10,321.13 and 15,814.84

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Solution

The third proportional to 10,321.13 and 15,814.84 is: 24,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.13 : 15,814.84 = 15,814.84 : x
  2. Step 2: Convert to fraction form
    10,321.13/15,814.84 = 15,814.84/x
  3. Step 3: Cross multiply
    10,321.13x = 15,814.84 × 15,814.84
  4. Step 4: Simplify right side
    10,321.13x = 250,109,282.84
  5. Step 5: Solve for x
    x = 250,109,282.84/10,321.13
  6. Step 6: Final answer
    x = 24,232.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.