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Finding the Third Proportional to 11,511 and 23,840

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Solution

The third proportional to 11,511 and 23,840 is: 49,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511 : 23,840 = 23,840 : x
  2. Step 2: Convert to fraction form
    11,511/23,840 = 23,840/x
  3. Step 3: Cross multiply
    11,511x = 23,840 × 23,840
  4. Step 4: Simplify right side
    11,511x = 568,345,600
  5. Step 5: Solve for x
    x = 568,345,600/11,511
  6. Step 6: Final answer
    x = 49,374.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.