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Finding the Third Proportional to 14,105.81 and 30,740.34

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Solution

The third proportional to 14,105.81 and 30,740.34 is: 66,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.81 : 30,740.34 = 30,740.34 : x
  2. Step 2: Convert to fraction form
    14,105.81/30,740.34 = 30,740.34/x
  3. Step 3: Cross multiply
    14,105.81x = 30,740.34 × 30,740.34
  4. Step 4: Simplify right side
    14,105.81x = 944,968,733.87
  5. Step 5: Solve for x
    x = 944,968,733.87/14,105.81
  6. Step 6: Final answer
    x = 66,991.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.