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Finding the Third Proportional to 13,701.38 and 29,939.63

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Solution

The third proportional to 13,701.38 and 29,939.63 is: 65,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.38 : 29,939.63 = 29,939.63 : x
  2. Step 2: Convert to fraction form
    13,701.38/29,939.63 = 29,939.63/x
  3. Step 3: Cross multiply
    13,701.38x = 29,939.63 × 29,939.63
  4. Step 4: Simplify right side
    13,701.38x = 896,381,145.14
  5. Step 5: Solve for x
    x = 896,381,145.14/13,701.38
  6. Step 6: Final answer
    x = 65,422.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.