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Finding the Third Proportional to 10,324.13 and 14,770.69

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Solution

The third proportional to 10,324.13 and 14,770.69 is: 21,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.13 : 14,770.69 = 14,770.69 : x
  2. Step 2: Convert to fraction form
    10,324.13/14,770.69 = 14,770.69/x
  3. Step 3: Cross multiply
    10,324.13x = 14,770.69 × 14,770.69
  4. Step 4: Simplify right side
    10,324.13x = 218,173,209.22
  5. Step 5: Solve for x
    x = 218,173,209.22/10,324.13
  6. Step 6: Final answer
    x = 21,132.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.