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Finding the Third Proportional to 14,033.25 and 26,699.63

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Solution

The third proportional to 14,033.25 and 26,699.63 is: 50,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.25 : 26,699.63 = 26,699.63 : x
  2. Step 2: Convert to fraction form
    14,033.25/26,699.63 = 26,699.63/x
  3. Step 3: Cross multiply
    14,033.25x = 26,699.63 × 26,699.63
  4. Step 4: Simplify right side
    14,033.25x = 712,869,975.14
  5. Step 5: Solve for x
    x = 712,869,975.14/14,033.25
  6. Step 6: Final answer
    x = 50,798.64

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.