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Finding the Third Proportional to 14,678.25 and 20,983.88

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Solution

The third proportional to 14,678.25 and 20,983.88 is: 29,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.25 : 20,983.88 = 20,983.88 : x
  2. Step 2: Convert to fraction form
    14,678.25/20,983.88 = 20,983.88/x
  3. Step 3: Cross multiply
    14,678.25x = 20,983.88 × 20,983.88
  4. Step 4: Simplify right side
    14,678.25x = 440,323,010.02
  5. Step 5: Solve for x
    x = 440,323,010.02/14,678.25
  6. Step 6: Final answer
    x = 29,998.33

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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.