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Finding the Third Proportional to 14,464.50 and 21,850.88

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Solution

The third proportional to 14,464.50 and 21,850.88 is: 33,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.50 : 21,850.88 = 21,850.88 : x
  2. Step 2: Convert to fraction form
    14,464.50/21,850.88 = 21,850.88/x
  3. Step 3: Cross multiply
    14,464.50x = 21,850.88 × 21,850.88
  4. Step 4: Simplify right side
    14,464.50x = 477,460,738.27
  5. Step 5: Solve for x
    x = 477,460,738.27/14,464.50
  6. Step 6: Final answer
    x = 33,009.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.