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Finding the Third Proportional to 24,383 and 53,329

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Solution

The third proportional to 24,383 and 53,329 is: 116,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383 : 53,329 = 53,329 : x
  2. Step 2: Convert to fraction form
    24,383/53,329 = 53,329/x
  3. Step 3: Cross multiply
    24,383x = 53,329 × 53,329
  4. Step 4: Simplify right side
    24,383x = 2,843,982,241
  5. Step 5: Solve for x
    x = 2,843,982,241/24,383
  6. Step 6: Final answer
    x = 116,637.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.