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Finding the Third Proportional to 6,632.63 and 14,301.38

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Solution

The third proportional to 6,632.63 and 14,301.38 is: 30,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.63 : 14,301.38 = 14,301.38 : x
  2. Step 2: Convert to fraction form
    6,632.63/14,301.38 = 14,301.38/x
  3. Step 3: Cross multiply
    6,632.63x = 14,301.38 × 14,301.38
  4. Step 4: Simplify right side
    6,632.63x = 204,529,326.89
  5. Step 5: Solve for x
    x = 204,529,326.89/6,632.63
  6. Step 6: Final answer
    x = 30,836.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.