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Finding the Third Proportional to 10,158.38 and 16,221.56

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Solution

The third proportional to 10,158.38 and 16,221.56 is: 25,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.38 : 16,221.56 = 16,221.56 : x
  2. Step 2: Convert to fraction form
    10,158.38/16,221.56 = 16,221.56/x
  3. Step 3: Cross multiply
    10,158.38x = 16,221.56 × 16,221.56
  4. Step 4: Simplify right side
    10,158.38x = 263,139,089.94
  5. Step 5: Solve for x
    x = 263,139,089.94/10,158.38
  6. Step 6: Final answer
    x = 25,903.66

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.