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Finding the Third Proportional to 24,548.50 and 53,876

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Solution

The third proportional to 24,548.50 and 53,876 is: 118,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548.50 : 53,876 = 53,876 : x
  2. Step 2: Convert to fraction form
    24,548.50/53,876 = 53,876/x
  3. Step 3: Cross multiply
    24,548.50x = 53,876 × 53,876
  4. Step 4: Simplify right side
    24,548.50x = 2,902,623,376
  5. Step 5: Solve for x
    x = 2,902,623,376/24,548.50
  6. Step 6: Final answer
    x = 118,240.36

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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.