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Finding the Third Proportional to 15,288.75 and 23,629.22

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Solution

The third proportional to 15,288.75 and 23,629.22 is: 36,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,288.75 : 23,629.22 = 23,629.22 : x
  2. Step 2: Convert to fraction form
    15,288.75/23,629.22 = 23,629.22/x
  3. Step 3: Cross multiply
    15,288.75x = 23,629.22 × 23,629.22
  4. Step 4: Simplify right side
    15,288.75x = 558,339,978.74
  5. Step 5: Solve for x
    x = 558,339,978.74/15,288.75
  6. Step 6: Final answer
    x = 36,519.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.