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Finding the Third Proportional to 24,403 and 53,099

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Solution

The third proportional to 24,403 and 53,099 is: 115,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,403 : 53,099 = 53,099 : x
  2. Step 2: Convert to fraction form
    24,403/53,099 = 53,099/x
  3. Step 3: Cross multiply
    24,403x = 53,099 × 53,099
  4. Step 4: Simplify right side
    24,403x = 2,819,503,801
  5. Step 5: Solve for x
    x = 2,819,503,801/24,403
  6. Step 6: Final answer
    x = 115,539.23

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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.