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Finding the Third Proportional to 15,755.13 and 23,632.69

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Solution

The third proportional to 15,755.13 and 23,632.69 is: 35,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.13 : 23,632.69 = 23,632.69 : x
  2. Step 2: Convert to fraction form
    15,755.13/23,632.69 = 23,632.69/x
  3. Step 3: Cross multiply
    15,755.13x = 23,632.69 × 23,632.69
  4. Step 4: Simplify right side
    15,755.13x = 558,503,918.47
  5. Step 5: Solve for x
    x = 558,503,918.47/15,755.13
  6. Step 6: Final answer
    x = 35,449.03

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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.