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Finding the Third Proportional to 11,383 and 24,871

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Solution

The third proportional to 11,383 and 24,871 is: 54,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383 : 24,871 = 24,871 : x
  2. Step 2: Convert to fraction form
    11,383/24,871 = 24,871/x
  3. Step 3: Cross multiply
    11,383x = 24,871 × 24,871
  4. Step 4: Simplify right side
    11,383x = 618,566,641
  5. Step 5: Solve for x
    x = 618,566,641/11,383
  6. Step 6: Final answer
    x = 54,341.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.