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Finding the Third Proportional to 11,209 and 24,146

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Solution

The third proportional to 11,209 and 24,146 is: 52,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209 : 24,146 = 24,146 : x
  2. Step 2: Convert to fraction form
    11,209/24,146 = 24,146/x
  3. Step 3: Cross multiply
    11,209x = 24,146 × 24,146
  4. Step 4: Simplify right side
    11,209x = 583,029,316
  5. Step 5: Solve for x
    x = 583,029,316/11,209
  6. Step 6: Final answer
    x = 52,014.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.