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Finding the Third Proportional to 14,116.97 and 20,784.38

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Solution

The third proportional to 14,116.97 and 20,784.38 is: 30,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.97 : 20,784.38 = 20,784.38 : x
  2. Step 2: Convert to fraction form
    14,116.97/20,784.38 = 20,784.38/x
  3. Step 3: Cross multiply
    14,116.97x = 20,784.38 × 20,784.38
  4. Step 4: Simplify right side
    14,116.97x = 431,990,244.14
  5. Step 5: Solve for x
    x = 431,990,244.14/14,116.97
  6. Step 6: Final answer
    x = 30,600.78

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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.