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Finding the Third Proportional to 24,300 and 50,787

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Solution

The third proportional to 24,300 and 50,787 is: 106,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300 : 50,787 = 50,787 : x
  2. Step 2: Convert to fraction form
    24,300/50,787 = 50,787/x
  3. Step 3: Cross multiply
    24,300x = 50,787 × 50,787
  4. Step 4: Simplify right side
    24,300x = 2,579,319,369
  5. Step 5: Solve for x
    x = 2,579,319,369/24,300
  6. Step 6: Final answer
    x = 106,144.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.