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Finding the Third Proportional to 4,782.75 and 11,308.50

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Solution

The third proportional to 4,782.75 and 11,308.50 is: 26,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.75 : 11,308.50 = 11,308.50 : x
  2. Step 2: Convert to fraction form
    4,782.75/11,308.50 = 11,308.50/x
  3. Step 3: Cross multiply
    4,782.75x = 11,308.50 × 11,308.50
  4. Step 4: Simplify right side
    4,782.75x = 127,882,172.25
  5. Step 5: Solve for x
    x = 127,882,172.25/4,782.75
  6. Step 6: Final answer
    x = 26,738.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.