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Finding the Third Proportional to 14,366.81 and 30,461.44

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Solution

The third proportional to 14,366.81 and 30,461.44 is: 64,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.81 : 30,461.44 = 30,461.44 : x
  2. Step 2: Convert to fraction form
    14,366.81/30,461.44 = 30,461.44/x
  3. Step 3: Cross multiply
    14,366.81x = 30,461.44 × 30,461.44
  4. Step 4: Simplify right side
    14,366.81x = 927,899,174.57
  5. Step 5: Solve for x
    x = 927,899,174.57/14,366.81
  6. Step 6: Final answer
    x = 64,586.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.