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Finding the Third Proportional to 10,213.59 and 16,049.39

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Solution

The third proportional to 10,213.59 and 16,049.39 is: 25,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.59 : 16,049.39 = 16,049.39 : x
  2. Step 2: Convert to fraction form
    10,213.59/16,049.39 = 16,049.39/x
  3. Step 3: Cross multiply
    10,213.59x = 16,049.39 × 16,049.39
  4. Step 4: Simplify right side
    10,213.59x = 257,582,939.43
  5. Step 5: Solve for x
    x = 257,582,939.43/10,213.59
  6. Step 6: Final answer
    x = 25,219.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.