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Finding the Third Proportional to 14,636.25 and 20,913.75

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Solution

The third proportional to 14,636.25 and 20,913.75 is: 29,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636.25 : 20,913.75 = 20,913.75 : x
  2. Step 2: Convert to fraction form
    14,636.25/20,913.75 = 20,913.75/x
  3. Step 3: Cross multiply
    14,636.25x = 20,913.75 × 20,913.75
  4. Step 4: Simplify right side
    14,636.25x = 437,384,939.06
  5. Step 5: Solve for x
    x = 437,384,939.06/14,636.25
  6. Step 6: Final answer
    x = 29,883.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.