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Finding the Third Proportional to 10,434.94 and 16,151.06

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Solution

The third proportional to 10,434.94 and 16,151.06 is: 24,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.94 : 16,151.06 = 16,151.06 : x
  2. Step 2: Convert to fraction form
    10,434.94/16,151.06 = 16,151.06/x
  3. Step 3: Cross multiply
    10,434.94x = 16,151.06 × 16,151.06
  4. Step 4: Simplify right side
    10,434.94x = 260,856,819.88
  5. Step 5: Solve for x
    x = 260,856,819.88/10,434.94
  6. Step 6: Final answer
    x = 24,998.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.