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Finding the Third Proportional to 24,819.75 and 54,381.38

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Solution

The third proportional to 24,819.75 and 54,381.38 is: 119,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819.75 : 54,381.38 = 54,381.38 : x
  2. Step 2: Convert to fraction form
    24,819.75/54,381.38 = 54,381.38/x
  3. Step 3: Cross multiply
    24,819.75x = 54,381.38 × 54,381.38
  4. Step 4: Simplify right side
    24,819.75x = 2,957,333,946.89
  5. Step 5: Solve for x
    x = 2,957,333,946.89/24,819.75
  6. Step 6: Final answer
    x = 119,152.45

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