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Finding the Third Proportional to 24,351 and 53,115

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Solution

The third proportional to 24,351 and 53,115 is: 115,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351 : 53,115 = 53,115 : x
  2. Step 2: Convert to fraction form
    24,351/53,115 = 53,115/x
  3. Step 3: Cross multiply
    24,351x = 53,115 × 53,115
  4. Step 4: Simplify right side
    24,351x = 2,821,203,225
  5. Step 5: Solve for x
    x = 2,821,203,225/24,351
  6. Step 6: Final answer
    x = 115,855.74

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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.