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Finding the Third Proportional to 24,224 and 51,379.75

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Solution

The third proportional to 24,224 and 51,379.75 is: 108,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224 : 51,379.75 = 51,379.75 : x
  2. Step 2: Convert to fraction form
    24,224/51,379.75 = 51,379.75/x
  3. Step 3: Cross multiply
    24,224x = 51,379.75 × 51,379.75
  4. Step 4: Simplify right side
    24,224x = 2,639,878,710.06
  5. Step 5: Solve for x
    x = 2,639,878,710.06/24,224
  6. Step 6: Final answer
    x = 108,977.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.