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Finding the Third Proportional to 11,461 and 23,653

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Solution

The third proportional to 11,461 and 23,653 is: 48,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461 : 23,653 = 23,653 : x
  2. Step 2: Convert to fraction form
    11,461/23,653 = 23,653/x
  3. Step 3: Cross multiply
    11,461x = 23,653 × 23,653
  4. Step 4: Simplify right side
    11,461x = 559,464,409
  5. Step 5: Solve for x
    x = 559,464,409/11,461
  6. Step 6: Final answer
    x = 48,814.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.