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Finding the Third Proportional to 14,243.81 and 30,677.81

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Solution

The third proportional to 14,243.81 and 30,677.81 is: 66,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.81 : 30,677.81 = 30,677.81 : x
  2. Step 2: Convert to fraction form
    14,243.81/30,677.81 = 30,677.81/x
  3. Step 3: Cross multiply
    14,243.81x = 30,677.81 × 30,677.81
  4. Step 4: Simplify right side
    14,243.81x = 941,128,179.79
  5. Step 5: Solve for x
    x = 941,128,179.79/14,243.81
  6. Step 6: Final answer
    x = 66,072.77

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Why These Related Problems?

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