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Finding the Third Proportional to 10,648 and 16,259

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Solution

The third proportional to 10,648 and 16,259 is: 24,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648 : 16,259 = 16,259 : x
  2. Step 2: Convert to fraction form
    10,648/16,259 = 16,259/x
  3. Step 3: Cross multiply
    10,648x = 16,259 × 16,259
  4. Step 4: Simplify right side
    10,648x = 264,355,081
  5. Step 5: Solve for x
    x = 264,355,081/10,648
  6. Step 6: Final answer
    x = 24,826.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.