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Finding the Third Proportional to 14,604 and 22,879.25

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Solution

The third proportional to 14,604 and 22,879.25 is: 35,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604 : 22,879.25 = 22,879.25 : x
  2. Step 2: Convert to fraction form
    14,604/22,879.25 = 22,879.25/x
  3. Step 3: Cross multiply
    14,604x = 22,879.25 × 22,879.25
  4. Step 4: Simplify right side
    14,604x = 523,460,080.56
  5. Step 5: Solve for x
    x = 523,460,080.56/14,604
  6. Step 6: Final answer
    x = 35,843.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.