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Finding the Third Proportional to 14,166.56 and 20,838.94

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Solution

The third proportional to 14,166.56 and 20,838.94 is: 30,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.56 : 20,838.94 = 20,838.94 : x
  2. Step 2: Convert to fraction form
    14,166.56/20,838.94 = 20,838.94/x
  3. Step 3: Cross multiply
    14,166.56x = 20,838.94 × 20,838.94
  4. Step 4: Simplify right side
    14,166.56x = 434,261,316.13
  5. Step 5: Solve for x
    x = 434,261,316.13/14,166.56
  6. Step 6: Final answer
    x = 30,653.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.