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Finding the Third Proportional to 14,313 and 20,997.75

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Solution

The third proportional to 14,313 and 20,997.75 is: 30,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313 : 20,997.75 = 20,997.75 : x
  2. Step 2: Convert to fraction form
    14,313/20,997.75 = 20,997.75/x
  3. Step 3: Cross multiply
    14,313x = 20,997.75 × 20,997.75
  4. Step 4: Simplify right side
    14,313x = 440,905,505.06
  5. Step 5: Solve for x
    x = 440,905,505.06/14,313
  6. Step 6: Final answer
    x = 30,804.55

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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.