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Finding the Third Proportional to 14,441.63 and 30,837.38

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Solution

The third proportional to 14,441.63 and 30,837.38 is: 65,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.63 : 30,837.38 = 30,837.38 : x
  2. Step 2: Convert to fraction form
    14,441.63/30,837.38 = 30,837.38/x
  3. Step 3: Cross multiply
    14,441.63x = 30,837.38 × 30,837.38
  4. Step 4: Simplify right side
    14,441.63x = 950,943,696.89
  5. Step 5: Solve for x
    x = 950,943,696.89/14,441.63
  6. Step 6: Final answer
    x = 65,847.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.