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Finding the Third Proportional to 24,419 and 35,764

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Solution

The third proportional to 24,419 and 35,764 is: 52,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419 : 35,764 = 35,764 : x
  2. Step 2: Convert to fraction form
    24,419/35,764 = 35,764/x
  3. Step 3: Cross multiply
    24,419x = 35,764 × 35,764
  4. Step 4: Simplify right side
    24,419x = 1,279,063,696
  5. Step 5: Solve for x
    x = 1,279,063,696/24,419
  6. Step 6: Final answer
    x = 52,379.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.