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Finding the Third Proportional to 24,137.75 and 50,482.25

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Solution

The third proportional to 24,137.75 and 50,482.25 is: 105,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.75 : 50,482.25 = 50,482.25 : x
  2. Step 2: Convert to fraction form
    24,137.75/50,482.25 = 50,482.25/x
  3. Step 3: Cross multiply
    24,137.75x = 50,482.25 × 50,482.25
  4. Step 4: Simplify right side
    24,137.75x = 2,548,457,565.06
  5. Step 5: Solve for x
    x = 2,548,457,565.06/24,137.75
  6. Step 6: Final answer
    x = 105,579.75

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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.