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Finding the Third Proportional to 14,181.96 and 30,226.92

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Solution

The third proportional to 14,181.96 and 30,226.92 is: 64,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.96 : 30,226.92 = 30,226.92 : x
  2. Step 2: Convert to fraction form
    14,181.96/30,226.92 = 30,226.92/x
  3. Step 3: Cross multiply
    14,181.96x = 30,226.92 × 30,226.92
  4. Step 4: Simplify right side
    14,181.96x = 913,666,806.04
  5. Step 5: Solve for x
    x = 913,666,806.04/14,181.96
  6. Step 6: Final answer
    x = 64,424.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.