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Finding the Third Proportional to 10,150.38 and 14,917.88

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Solution

The third proportional to 10,150.38 and 14,917.88 is: 21,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.38 : 14,917.88 = 14,917.88 : x
  2. Step 2: Convert to fraction form
    10,150.38/14,917.88 = 14,917.88/x
  3. Step 3: Cross multiply
    10,150.38x = 14,917.88 × 14,917.88
  4. Step 4: Simplify right side
    10,150.38x = 222,542,994.52
  5. Step 5: Solve for x
    x = 222,542,994.52/10,150.38
  6. Step 6: Final answer
    x = 21,924.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.