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Finding the Third Proportional to 14,428.13 and 34,247.81

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Solution

The third proportional to 14,428.13 and 34,247.81 is: 81,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.13 : 34,247.81 = 34,247.81 : x
  2. Step 2: Convert to fraction form
    14,428.13/34,247.81 = 34,247.81/x
  3. Step 3: Cross multiply
    14,428.13x = 34,247.81 × 34,247.81
  4. Step 4: Simplify right side
    14,428.13x = 1,172,912,661.04
  5. Step 5: Solve for x
    x = 1,172,912,661.04/14,428.13
  6. Step 6: Final answer
    x = 81,293.49

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.