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Finding the Third Proportional to 14,402.81 and 33,364.41

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Solution

The third proportional to 14,402.81 and 33,364.41 is: 77,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.81 : 33,364.41 = 33,364.41 : x
  2. Step 2: Convert to fraction form
    14,402.81/33,364.41 = 33,364.41/x
  3. Step 3: Cross multiply
    14,402.81x = 33,364.41 × 33,364.41
  4. Step 4: Simplify right side
    14,402.81x = 1,113,183,604.42
  5. Step 5: Solve for x
    x = 1,113,183,604.42/14,402.81
  6. Step 6: Final answer
    x = 77,289.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.