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Finding the Third Proportional to 11,368 and 23,654

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Solution

The third proportional to 11,368 and 23,654 is: 49,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368 : 23,654 = 23,654 : x
  2. Step 2: Convert to fraction form
    11,368/23,654 = 23,654/x
  3. Step 3: Cross multiply
    11,368x = 23,654 × 23,654
  4. Step 4: Simplify right side
    11,368x = 559,511,716
  5. Step 5: Solve for x
    x = 559,511,716/11,368
  6. Step 6: Final answer
    x = 49,218.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.