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Finding the Third Proportional to 7,647.75 and 13,209.75

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Solution

The third proportional to 7,647.75 and 13,209.75 is: 22,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.75 : 13,209.75 = 13,209.75 : x
  2. Step 2: Convert to fraction form
    7,647.75/13,209.75 = 13,209.75/x
  3. Step 3: Cross multiply
    7,647.75x = 13,209.75 × 13,209.75
  4. Step 4: Simplify right side
    7,647.75x = 174,497,495.06
  5. Step 5: Solve for x
    x = 174,497,495.06/7,647.75
  6. Step 6: Final answer
    x = 22,816.84

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.