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Finding the Third Proportional to 9,496.50 and 20,454

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Solution

The third proportional to 9,496.50 and 20,454 is: 44,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.50 : 20,454 = 20,454 : x
  2. Step 2: Convert to fraction form
    9,496.50/20,454 = 20,454/x
  3. Step 3: Cross multiply
    9,496.50x = 20,454 × 20,454
  4. Step 4: Simplify right side
    9,496.50x = 418,366,116
  5. Step 5: Solve for x
    x = 418,366,116/9,496.50
  6. Step 6: Final answer
    x = 44,054.77

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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.