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Finding the Third Proportional to 11,389.50 and 24,482.25

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Solution

The third proportional to 11,389.50 and 24,482.25 is: 52,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.50 : 24,482.25 = 24,482.25 : x
  2. Step 2: Convert to fraction form
    11,389.50/24,482.25 = 24,482.25/x
  3. Step 3: Cross multiply
    11,389.50x = 24,482.25 × 24,482.25
  4. Step 4: Simplify right side
    11,389.50x = 599,380,565.06
  5. Step 5: Solve for x
    x = 599,380,565.06/11,389.50
  6. Step 6: Final answer
    x = 52,625.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.