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Finding the Third Proportional to 14,324.63 and 30,765.38

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Solution

The third proportional to 14,324.63 and 30,765.38 is: 66,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.63 : 30,765.38 = 30,765.38 : x
  2. Step 2: Convert to fraction form
    14,324.63/30,765.38 = 30,765.38/x
  3. Step 3: Cross multiply
    14,324.63x = 30,765.38 × 30,765.38
  4. Step 4: Simplify right side
    14,324.63x = 946,508,298.89
  5. Step 5: Solve for x
    x = 946,508,298.89/14,324.63
  6. Step 6: Final answer
    x = 66,075.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.