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Finding the Third Proportional to 14,163.75 and 21,854.81

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Solution

The third proportional to 14,163.75 and 21,854.81 is: 33,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.75 : 21,854.81 = 21,854.81 : x
  2. Step 2: Convert to fraction form
    14,163.75/21,854.81 = 21,854.81/x
  3. Step 3: Cross multiply
    14,163.75x = 21,854.81 × 21,854.81
  4. Step 4: Simplify right side
    14,163.75x = 477,632,829.41
  5. Step 5: Solve for x
    x = 477,632,829.41/14,163.75
  6. Step 6: Final answer
    x = 33,722.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.